Solve Multi-Step Inequalities

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Presentation transcript:

Solve Multi-Step Inequalities Section 6-3 Solve Multi-Step Inequalities Objective: Students will create and solve inequalities. Standards: A.REI.1 , A.REI.3 , A.CED.3

Example 1 Solve a two-step inequality: JUSTIFY -7x + 2 < -5 - 2 -2 - 2 -2 -7x < -7 -7 -7 x > 1 Graph: -3 -2 -1 0 1 2 3 4 Given. APOI Simplify Divided by negative, So FLIP the inequality MPOI Simplify

Example 2 Solve a multi-step inequality: ⅓(3x + 6) ≥ -1 x + 2 ≥ -1 - 2 -2 x ≥ -3 Graph: -3 -2 -1 0 1 2 3 4 Given. Distribute APOI Simplify

Example 3 Solve a multi-step inequality: 9x + 6 ≤ 6x + 21 -6x -6x - 6 -6 3x ≤ 15 3 3 x ≤ 5 Graph: 1 2 3 4 5 6 7 8 Given. APOI Simplify APOI Simplify MPOI Simplify

Example 4 Identify the number of solutions of the inequality: 8x – 4 ≥ 4(2x – 1) 8x – 4 ≥ 8x – 4 -8x -8x -4 ≥ -4 -2x + 9 < -2(x – 3) -2x + 9 < -2x + 6 +2x +2x 9 < 6 All Real Numbers because -4 ≥-4 is True. No Solutions because 9 < 6 is False.

Homework Section 6-3 Pg. 372 – 374 Solve & Prove: 3 – 9, 17 –20 Follow Directions: 29, 30, 37, 38, 40