Linear Inequalities

Question

Solve the inequality: 9 − 2x < 8 and write the solution using algebraic notation, then graph your solution.

Answer 1

To solve this inequality, first treat it like a normal expression and try to isolate x.

9 - 2x < 8

Subtract 9 from both sides

-2x < -1

**When you divide by a negative number across an inequality, the inequality flips.

Divide both sides by -2

x > 2

This is your answer.

To graph, there will be a dotted vertical line at x =2. Then, since it reads x > 2, the area to the right of x = 2 will be shaded. Using Desmos, you can graph this: Desmos | Graphing Calculator