INEQUALITIES 2 SOLVING INEQUALITIES Multiplication Division Designed by

INEQUALITIES 2) SOLVING INEQUALITIES Multiplication & Division Designed by Ms. De. Lany ~ Richmond Early College

LEARNING TARGET I can…. solve inequalities using multiplication and division. Designed by Cassie De. Lany ~ Richmond Early College

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

1) Solve • • • 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 -53 > 13 k < -52 o -52 -51

2) When solving > -10 will the inequality switch? 1. Yes! 2. No! 3. I still don’t know! Answer Now

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

3) When solving will the inequality switch? 1. Yes! 2. No! 3. I still don’t know! Answer Now

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

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?

4) Solve -8 p ≥ -96 1. 2. 3. 4. p ≥ 12 p ≥ -12 p ≤ -12 Answer Now

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

5) Solve 7 v < -105 1. 2. 3. 4. o -16 -15 -14 ● -16 -15 ● -14 -15 -14 Answer Now