Objective The student will be able to:

1. ObjectiveThe student will be able to: solve inequalities using multiplication and division. SOL: A.1, A.3 Designed by Skip Tyler, Varina High School

2. o -5 -4 -3 o -5 -4 -3 ● -5 -4 -3 -5 -4 -3 Answer Now 1) Which graph represents the correct answer to > 1 ●

3. o -53 -52 -51 1) Solve > 13 • Draw “the river” • Clear the fraction - Multiply both sides by -4 • NEW STEP!! When multiplying BOTH sides by a NEGATIVE number, SWITCH the inequality! • Simplify • Check your answer • Graph the solution k < -52

4. Answer Now 2) When solving > -10will the inequality switch? • Yes! • No! • I still don’t know!

5. o -31 -30 -29 2) Solve < -10 • Draw “the river” • Clear the fraction - Multiply both sides by 3. Do you switch the inequality? • No - Both sides are being multiplied by a positive number • Simplify • Check your answer • Graph the solution x < -30

6. Answer Now 3) When solving will the inequality switch? • Yes! • No! • I still don’t know!

7. o -25 -24 -23 3) Solve • Draw “the river” • Clear the fraction - Multiply both sides by -4. Do you switch the inequality? Yes - Both sides are being multiplied by a negative number • Simplify • Check your answer • Graph the solution x > -24

8. Take a quick break! Things that make you go.....Hmmm Why is abbreviation such a long word? Why do they have braille dots on the ATM machines in drive-thru’s?

9. Answer Now 4) Solve -8p ≥ -96 • p ≥ 12 • p ≥ -12 • p ≤ 12 • p ≤ -12

10. ● 11 12 13 4) Solve -8p ≥ -96 • Draw “the river” • Divide both sides by -8. Do you switch the inequality? Yes - Both sides are being divided by a negative number • Simplify • Check your answer • Graph the solution p ≤ 12 -8(12) = -96

11. o -16 -15 -14 o -16 -15 -14 ● -16 -15 -14 -15 -15 -14 Answer Now 5) Solve 7v < -105 ●