1. Solving two step Inequalities < < < > < > < <

2. Solving an Inequality  Follow the same rules and steps that we used to solve an equation.  Always undo addition or subtraction first, then multiplication or division.  Remember whatever is done to one side of the inequality must be done to the other side. The goal is to get the variable by itself.

3. Examples 2h + 8 ≤ 24 -8 -8 2h ≤ 16 2 2 h ≤ 8 All numbers less than 8 (including 8) 051015-20-15-10-5-252025

4. Remember! There is one special case. ● Sometimes you may have to reverse the direction of the inequality sign!! ● That only happens when you multiply or divide both sides of the inequality by a negative number.

5. Example: Solve: -3y + 5 >23 -5 -5 -3y > 18 -3 -3 y < -6 ● Subtract 5 from each side. ● Divide each side by negative 3. ● Reverse the inequality sign. ● Graph the solution. Open circle, line to the left. 0-6

6. Example: ● Add 6 to each side. ● Multiply each side by negative 2. ● Reverse the inequality sign. 051015-20-15-10-5-252025 ● Graph the solution. ● Open circle, line to the right.

7. Example 2x + 3 ≥ 7 *Get the variable term alone* -3 -3 “undo” addition by subtraction 2 x ≥ 4 *Isolate the variable* 2 2 “undo” multiplication by division x ≥ 2 051015-20-15-10-5-252025 ● Graph the solution. Closed circle, line to the right.

8. Example: 051015-20-15-10-5-252025

9. Your Turn…. 1.x > – 12 2.x < 30 3.c > – 3

10. Variable on the right… 14 > 3x – 4 +4 +4 18 > 3x 3 3 6 > x = x<6 All numbers less than 6 051015-20-15-10-5-252025

11. Practice Solving two step equations