Lesson 3 4 Solving MultiStep Inequalities August 20

Lesson 3 -4 Solving Multi-Step Inequalities August 20, 2014

Daily Learning Target • I will solve multi-step inequalities.

Remember!!! • Steps for solving equations: 1) Use the Distributive Property to remove any grouping symbols. Use properties of equality to clear decimals and fractions. 2) Combine like terms on each side of the equation. 3) Use the properties of equality to get the variable terms on one side of the equation and the constants on the other. 4) Use the properties of equality to solve for the variable. 5) Check you solution in the original equation.

Example 1 9 + 4 t > 21 t>3

Example 2 The inequality will be: 2 l + 2(12) ≤ 42 Answer: l ≤ 9

Example 3 – Distributive Property 3(t + 1) – 4 t ≥ -5 Answer: t ≤ 8

Example 4: Variable on Both Side 6 n – 1 > 3 n + 8 Answer: n > 3

Example 5: Special Inequalities 4 – 2 n ≤ 5 – n + 1 Answer: n ≥ -2

Special Solution • If you have, what appears to be, the same thing on both sides of the inequality, you will have Infinitely Many Solutions as your answer. – Ex. 10 – 8 a ≥ 2(5 – 4 a) It will simplify down to be 10 ≥ 10 which is always true!! • If you see the variables have the same coefficient but different constants, then make sure the constants make the inequality true. – Ex. 6 m – 5 > 6 m + 7 -5 > 7 will never be true. So this is no solution!!

Your Turn

Homework • Page 91 -92 • Problems: 2, 5, 8 -14 even, 15, 20 -22