Absolute Value Inequalities - College Algebra
Card 1 of 8
Solve the inequality:
Solve the inequality:
Tap to reveal answer
To solve for 
first isolate the absolute value portion on one side of the equation and all other constants on the other side.
Since absolute values can come from either negative or positive values, two equations need to be set up and solved for.
To solve for
Since absolute values can come from either negative or positive values, two equations need to be set up and solved for.
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Solve: 
Solve:
Tap to reveal answer
Add 
on both sides.
Add 8 on both sides.
Divide by two on both sides.
The answer is: 
Add
Add 8 on both sides.
Divide by two on both sides.
The answer is:
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Solve the inequality:
Solve the inequality:
Tap to reveal answer
To solve for first isolate the absolute value portion on one side of the equation and all other constants on the other side.
Since absolute values can come from either negative or positive values, two equations need to be set up and solved for.
To solve for
Since absolute values can come from either negative or positive values, two equations need to be set up and solved for.
← Didn't Know|Knew It →
Solve:
Solve:
Tap to reveal answer
Add on both sides.
Add 8 on both sides.
Divide by two on both sides.
The answer is:
Add
Add 8 on both sides.
Divide by two on both sides.
The answer is:
← Didn't Know|Knew It →
Solve the inequality:
Solve the inequality:
Tap to reveal answer
To solve for first isolate the absolute value portion on one side of the equation and all other constants on the other side.
Since absolute values can come from either negative or positive values, two equations need to be set up and solved for.
To solve for
Since absolute values can come from either negative or positive values, two equations need to be set up and solved for.
← Didn't Know|Knew It →
Solve:
Solve:
Tap to reveal answer
Add on both sides.
Add 8 on both sides.
Divide by two on both sides.
The answer is:
Add
Add 8 on both sides.
Divide by two on both sides.
The answer is:
← Didn't Know|Knew It →
Solve the inequality:
Solve the inequality:
Tap to reveal answer
To solve for first isolate the absolute value portion on one side of the equation and all other constants on the other side.
Since absolute values can come from either negative or positive values, two equations need to be set up and solved for.
To solve for
Since absolute values can come from either negative or positive values, two equations need to be set up and solved for.
← Didn't Know|Knew It →
Solve:
Solve:
Tap to reveal answer
Add on both sides.
Add 8 on both sides.
Divide by two on both sides.
The answer is:
Add
Add 8 on both sides.
Divide by two on both sides.
The answer is:
← Didn't Know|Knew It →