Inequalities and Their Graphs PDF

Name R21 Inequalities and Their Graphs REVIEW Solve inequalities in the same way you solve equations, by applying the properties of equality to keep the statement tr...

Name R21 Inequalities and Their Graphs REVIEW Solve inequalities in the same way you solve equations, by applying the properties of equality to keep the statement true. If you multiply or divide by a negative number, you need to reverse the direction of the inequality symbol. Solve the inequality x – 2 < 4 and graph its solution. x–2 < 4 x–2+2 < 4+ ← Add 2 on each side to isolate x. x <  0 1 2 3 4 5 6 7 8 9 10 ← The inequality uses the < symbol, so 6 is NOT part of the solution. Use an open circle. Solve the inequality –3y ≤ 9 and graph its solution. –3y ≤ 9 –3y 9 ​​   ​​ ____​​ ≤ ​​ _____ ← Divide each side by 3 to isolate y. 3 –y ≤ 3 –y · (–1) ≥ 3 · ( ← Reverse the inequality symbol when multiplying by –1. )  y ≥ –3  inequality uses the ≥ symbol, so –3 IS part of the −5 −4 −3 −2 −1 0 1 2 3 4 5 ← The solution. Use a solid circle. PRACTICE Solve each inequality and graph its solution. 1. x – 4 < 1 2. 7 < w + 2 3. 10 ≤ y + 8 4. 2.5a < 15 5. b – 4 ≤ –3 6. 6c < 24 7. 4t > –14 8. –4.2 + g ≥ 0.5 9. 8 – k < 8 3p y 10.  ​​ ___ 5 ​​ ≥ –9 11. 0 ≤ –m + 6 ​​  23 ​​  12. –​​ __6 ​​ < __ Skills Review & Practice R21 Copyright © Savvas Learning Company LLC. All Rights Reserved.