This question tests understanding of solving inequalities as finding which values from a specified set make the statement true, using substitution to check each value. The solving process involves the given inequality x<4 and the test set {2,3,4,5}, where you determine which values satisfy it by substitution: pick a value like x=3, replace (3<4), evaluate and check if true—yes, so x=3 is a solution; inequalities can have multiple solutions from the set. For example, with inequality x<4 and set {2,3,4,5}, check x=2:2<4 true, x=3:3<4 true, x=4:4<4 false, x=5:5<4 false, so solutions are {2,3}. Correct solution identification comes from testing each and confirming strict inequality. Common errors include including x=4 when < excludes equality, or not testing all values. Testing systematically: (1) list the set {2,3,4,5}, (2) test each like x=4:4<4 false, (3) mark true values like x=2 and x=3, (4) collect solutions {2,3}. Remember < means less than, not less than or equal.

This question tests understanding of solving equations as finding which values from a specified set make the statement true, using substitution to check each value. The solving process involves the given equation x + 2 = 8 and the test set {3,4,5,6}, where you determine which values satisfy it by substituting each one. For example, try x=6:6+2=8=8 true; equations typically have one solution. For instance, x=3:3+2=5≠8 false, x=4:6≠8 false, x=5:7≠8 false, x=6:8=8 true, so {6}. The correct solution is identified by substitution as {6}. A common error is wrong value like x=5 when 7≠8, or not testing all. To test systematically: (1) list {3,4,5,6}, (2) substitute each into x+2=8, (3) mark true x=6, (4) collect {6}.

This question tests understanding of solving equations as finding which values from a specified set make the statement true, using substitution to check each value. The solving process involves the given equation 2x=14 and the test set {5,6,7,8}, where you determine which values satisfy it by substitution: pick a value like x=7, replace (27=14), evaluate (14=14), and check if true—yes, so x=7 is a solution; equations typically have one solution. For example, with equation 2x=14 and set {5,6,7,8}, check x=5:10≠14 false, x=6:12≠14 false, x=7:14=14 true, x=8:16≠14 false, so only x=7 is the solution. Correct solution identification comes from substituting, multiplying, and verifying equality. Common errors include wrong values like x=6 when 12≠14, arithmetic like 27=12, or claiming multiple solutions. Testing systematically: (1) list the set {5,6,7,8}, (2) test each like x=6:12≠14 false, (3) mark true values like x=7 true, (4) collect solutions {7}. No solution if none match, but here there is one.

Understanding solving equations and inequalities means finding which values from a specified set make the statement true, using substitution to check each value. For the inequality x>4 with the set {2,3,4,5,6}, the solving process involves determining which values satisfy it by substituting each one. For example, try x=5: 5>4 is true, x=6:6>4 true, but x=4:4>4 false since it's equal, not greater; x=2:2>4 false. In contrast, an equation like x+5=12 typically has one solution, such as x=7. For this inequality x>4 with set {2,3,4,5,6}, check x=2:2>4 false, x=3:3>4 false, x=4:4>4 false, x=5:5>4 true, x=6:6>4 true, so solutions are {5,6}. The correct solution set is identified by substitution, and here it's {5,6}. A common error is including the boundary like 4 when the inequality is strict (>), or not testing all values.

This question tests understanding of solving equations as finding which values from a specified set make the statement true, using substitution to check each value. The solving process involves the given equation x + 8 = 14 and the test set {4,5,6,7}, where you determine which values satisfy it by substituting each one. For example, try x=6: replace the variable to get 6 + 8 = 14, evaluate to 14 = 14, which is true, so x=6 is a solution; equations like this typically have one solution, unlike inequalities which can have multiple. For instance, checking the set: x=4 gives 4+8=12≠14 false, x=5 gives 5+8=13≠14 false, x=6 gives 6+8=14=14 true, x=7 gives 7+8=15≠14 false, so only x=6 is the solution. The correct solution is identified by substitution as {6}. A common error is an arithmetic mistake, like claiming x=5 works because 5+8=14 incorrectly, or not testing all values and missing the solution. To test systematically: (1) list the set {4,5,6,7}, (2) substitute each into x+8=14 and evaluate, (3) mark true values like x=6, (4) collect solutions as {6}; remember, if no value works, report no solution in the set.

This question tests understanding of solving inequalities as finding which values from a specified set make the statement true, using substitution to check each value. The solving process involves the given inequality x≥7 and the test set {5,6,7,8}, where you determine which values satisfy it by substitution: pick a value like x=7, replace (7≥7), evaluate and check if true—yes, so x=7 is a solution; inequalities with ≥ include the boundary and can have multiple solutions. For example, with inequality x≥7 and set {5,6,7,8}, check x=5:5≥7 false, x=6:6≥7 false, x=7:7≥7 true, x=8:8≥7 true, so solutions are {7,8}. Correct solution identification comes from testing each and confirming the inequality including equality. Common errors include excluding the boundary like x=7, or including lower values like x=6. Testing systematically: (1) list the set {5,6,7,8}, (2) test each like x=6:6≥7 false, (3) mark true values like x=7 and x=8, (4) collect solutions {7,8}. Remember ≥ includes equal to.

This question tests understanding of solving inequalities as finding which values from a specified set make the statement true, using substitution to check each value. The solving process involves the given inequality x > 3 and the test set {1,2,3,4,5,6}, where you determine which values satisfy it by substituting each one. For example, for x>3 from the set, test each: 4>3 true, 5>3 true, 6>3 true, but 1>3 false, 2>3 false, 3>3 false (since > excludes equal), so solutions are {4,5,6}; inequalities can have multiple solutions, unlike equations which typically have one. For instance, checking fully: 1>3 false, 2>3 false, 3>3 false, 4>3 true, 5>3 true, 6>3 true, confirming {4,5,6}. The correct solution is identified by substitution as {4,5,6}. A common error is including the boundary incorrectly, like adding 3 when > excludes it, or not testing all values and omitting some true ones. To test systematically: (1) list the set {1,2,3,4,5,6}, (2) substitute each into x>3 and check, (3) mark true values like 4,5,6, (4) collect solutions as {4,5,6}; remember the inequality direction, as x>3 excludes 3 but includes greater values.

This question tests understanding of solving inequalities as finding which values from a specified set make the statement true, using substitution to check each value. The solving process involves the given inequality 2x<6 and the test set {0,1,2,3,4}, where you determine which values satisfy it by substitution: pick a value like x=2, replace (22<6 becomes 4<6), evaluate and check if true—yes, so x=2 is a solution; inequalities can have multiple solutions, unlike equations which typically have one. For example, with inequality 2x<6 and set {0,1,2,3,4}, check x=0:0<6 true, x=1:2<6 true, x=2:4<6 true, x=3:6<6 false, x=4:8<6 false, so solutions are {0,1,2}. Correct solution identification comes from substituting, multiplying, and checking the inequality. Common errors include including boundary like x=3 when 6<6 is false, arithmetic errors like 23=5, or not testing all. Testing systematically: (1) list the set {0,1,2,3,4}, (2) test each like x=3:6<6 false, (3) mark true values like x=0,1,2, (4) collect solutions {0,1,2}. Remember < means strictly less, excluding equality.

Understanding solving equations and inequalities means finding which values from a specified set make the statement true, using substitution to check each value. For the inequality 2x<10 with the set {0,1,2,3,4,5}, the solving process involves determining which values satisfy it by substituting each one. Substitution: for x=4, 2(4)=8<10 true; for x=5, 2(5)=10<10 false since 10 is not less than 10. In contrast, an equation like x+5=12 has typically one solution. For this inequality, test: 2(0)=0<10 true, 2(1)=2<10 true, 2(2)=4<10 true, 2(3)=6<10 true, 2(4)=8<10 true, 2(5)=10<10 false, so solutions {0,1,2,3,4}. The correct solution set is identified by substitution, excluding the boundary where it's equal. A common error is including x=5 by mistake, thinking 10<10 is true, or arithmetic errors in multiplication.

This question tests understanding of solving equations as finding which values from a specified set make the statement true, using substitution to check each value. The solving process involves the given equation x+9=15 and the test set {1,2,3,4}, where you determine which values satisfy it by substitution: pick a value like x=4, replace (4+9=13), evaluate (13=15?), check if true—no, and similarly for others; equations typically have one solution, but none here. For example, with equation x+9=15 and set {1,2,3,4}, check x=1:1+9=10≠15 false, x=2:11≠15 false, x=3:12≠15 false, x=4:13≠15 false, so no solution in the set. Correct solution identification comes from checking all and finding none equal. Common errors include claiming x=4 when 13≠15, arithmetic like 4+9=15, or saying there's a solution outside the set. Testing systematically: (1) list the set {1,2,3,4}, (2) test each like x=3:3+9=12≠15 false, (3) find no true values, (4) conclude no solution in the set. Always test all to confirm.