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

## Example Questions

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### Example Question #80 : Equations / Inequalities

Solve the inequality:

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.

### Example Question #81 : Equations / Inequalities

Solve the inequality:

Explanation:

Solve by adding nineteen on both sides.

Simplify both sides.

This is also the same as:

### Example Question #82 : Equations / Inequalities

Solve the inequality:

Explanation:

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

Simplify both sides of the inequality.

### Example Question #83 : Equations / Inequalities

Solve the following inequality:

Explanation:

Simplify both sides.

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

### Example Question #84 : Equations / Inequalities

Solve the inequality:

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.

### Example Question #85 : Equations / Inequalities

Solve the inequality: