Algebra 1 : How to find the solution to an inequality with addition

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #80 : Equations / Inequalities

Solve the inequality:  

Possible Answers:

Correct answer:

Explanation:

In order to find the solution to this inequality, add nine on both sides.

Simplify both sides.  There is no need to change the direction of the sign.

The answer is:  

Example Question #81 : Equations / Inequalities

Solve the inequality:  

Possible Answers:

Correct answer:

Explanation:

Solve by adding nineteen on both sides.

Simplify both sides.

This is also the same as:  

The answer is:  

Example Question #82 : Equations / Inequalities

Solve the inequality: 

Possible Answers:

Correct answer:

Explanation:

In order to solve this inequality, add three on both sides.

Simplify both sides of the inequality.

The answer is: 

Example Question #83 : Equations / Inequalities

Solve the following inequality:  

Possible Answers:

Correct answer:

Explanation:

Add six on both sides

Simplify both sides.

Add  on both sides.

Simplify the left side.  Since we are adding a negative variable, it is not necessary to change the sign.

The answer is:  

Example Question #84 : Equations / Inequalities

Solve the inequality:  

Possible Answers:

Correct answer:

Explanation:

Group the x-variables by adding  on both sides of the equation.

Simplify both sides of the equation.

Since we did not divide by a negative number, we do not need to switch the direction of the sign.

The answer is:  

Example Question #85 : Equations / Inequalities

Solve the inequality:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the x-variable, add 15 on both sides of equation.

Simplify both sides of the inequality.

The answer is:  

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