Splash Screen. Over Lesson 5–4 5-Minute Check 2 Solve the inequality. Show your work and 2 checks. 3t – 5 ≤ 13.

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Splash Screen

Over Lesson 5–4 5-Minute Check 2 Solve the inequality. Show your work and 2 checks. 3t – 5 ≤ 13

Over Lesson 5–4 5-Minute Check 2 Solve the inequality A.n  2.7 B.n  2.7 C.n  8.7 D.n  8.7

Over Lesson 5–4 5-Minute Check 4 A.r < 30 B.r < 3 C.r < –3 D.r < –30

Over Lesson 5–4 5-Minute Check 5 A.x  –18 B.x  –18 C.x  18 D.x  18

Over Lesson 5–4 5-Minute Check 3 A.t  6 B.t  6 C.t  -6 D.t  -6 Solve the inequality 3t – 5 ≤ 13.

Then/Now You have already solved two-step equations and inequalities. Solve multi-step inequalities.

Example 1 Solve Equations and Inequalities with Parentheses A. Solve (5x – 2)-3 ≥ (5x + -2) ≥ 186Write the inequality. -3(5x) + -3(-2) ≥ 186 Distributive Property -15x + 6 ≥ 186Simplify Subtract 6 from both sides -15x ≥ 180Simplify Divide by -15 and reverse symbol Answer: x ≤ -12 x ≤ -12 Simplify.

Example 1 Solve Equations and Inequalities with Parentheses A. Solve (5x – 2)-3 ≥ 186. Answer: x ≤ 12 To check your solution, first check the solution and then try any number less than -12. Check #1 (5x – 2)-3 = 186 Rewrite with an equal sign. 186 = 186 This statement is true. -3(5(-20) – 2) ≥ 186 Replace x with ≥ 186 This statement is true. Check #2 (5x – 2)-3 ≥ 186 Write the inequality. -3(5(-12) – 2) = 186 Replace x with -12.

Example 1 Solve Equations and Inequalities with Parentheses B. Solve 9(4k – 4) – 20k < (4k + -4) + -20k < 236Rewrite the equation. 9(4k) + 9(-4) + -20k <236Distributive Property 36k k < 236Simplify. 16k < 236Combine like terms Add 36 to both sides 16k < 272Simplify Divide both sides by 16 k< 17 Simplify.

Example 1 Solve Equations and Inequalities with Parentheses B. Solve 9(4k – 4) – 20k < 236. Answer: x < 17 To check your solution, first check the solution and then try any number less than 17. Check #1 9(4k – 4) – 20k = 236 Rewrite with an equal sign. 236 = 236 This statement is true. 9(4(10) – 4) – 20(10) < 236 Replace k with < 236 This statement is true. Check #2 9(4k – 4) – 20k < 236 Write the inequality. 9(4(17) – 4) – 20(17) = 236 Replace k with 17.

Example 1 A. Solve 4(x + 1) < 28.

Example 1 B. Solve 35 ≥ 7(2p – 1).