Linear Inequalities Test Guide

Absolute Value and Inequalities Topics Tested Students will be able to… Solve an inequality. Graph an inequality on a number line. Solve a compound inequality. Solve equations and inequalities with absolute value. Identify by matching a linear inequality with its graph in the coordinate plane. Construct the graph of a linear inequality Apply the Triangle Inequality Theorem

What can I study?

Homework from chapter 6. Notes (particularly Triangle Inequality Theorem from 10/22) Chapter 6 Test on page 379 Chapter 6 summary on pages 375-378

Triangle Inequality Theorem Represent all possible values of x 3x-2 14-x

x+5

!

Graph the function 3x " 5y < 10

Solve. Graph on a number line. 1) x + 7 > 2

7) 2x " 5 > x + 2

2) 4 x "13 # 0

8) 3x "1 < x "1

3) x "11 +10 < 2

9) x " 4 > 1" 2x

4) 2x + 5 " 4 $ "1

10) x " 4 # x + 6

5) 4 " x < 5

11) x + 2 " x > x " 5

6) 9 " 2x +1 > 5

!