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  • 12-11-2020
  • Mathematics
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6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?

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Space
Space Space
  • 12-11-2020

Answer:

x < -8

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define inequality

12 < -3(x + 4)

Step 2: Solve for x

  1. Distribute -3:                              12 < -3x - 12
  2. Add 12 to both sides:                24 < -3x
  3. Divide -3 on both sides:            -8 > x
  4. Rewrite:                                      x < -8

Here we see that any value x that is smaller than -8 would work.

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