1. Solving Linear Inequalities
Chapter 4 Section 1
Solving Linear Inequalities

2. Inequalities > greater than ≥ greater than or equal to
< less than
≤ less than or equal to

3. Practice
True/False
4 > 7
2 > 9
3 ≥ 3
5 < 7
6 ≤ 3

4. Inequality Linear inequality in one variable Solving an Inequality
Placing an inequality symbol between a linear expression (mx + b) and a constant
Solving an Inequality
Finding the set of numbers that make the inequality true. Theses numbers are called solutions and satisfy the inequality.

5. Sample of Inequalities
3x – 5 > -17
2x – 4 < x + 5

6. Solve like an Equation
Just remember: If you multiply or divide by a negative number, point the inequality symbol the other way.

7. Solve the equality 3x – 5 > - 17 -2x – 4 < x + 5
Graph the solutions on the number line.

8. Solve and graph the solution set
2x + 5 < 17
18x + 45 ≥ 12x – 8
8(x + 1) ≤ 7(x + 5) + x

9. Unusual Solutions Sets
2(x + 4) > 2x + 3
x + 7 ≤ x - 2

11. Summary
Inequality Symbols
Inequality Solutions
Solving inequalities