Which of the following describes the solution set for |-4+5x|=16? A{4}. B{4, - 4}. C {4, - 12/5}. D{-12/5}

Question

Mathematics

Boston Mathews

25 September, 22:53

Which of the following describes the solution set for |-4+5x|=16? A{4}. B{4, - 4}. C {4, - 12/5}. D{-12/5}

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Answers (1)

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Elijah Le · Answer 1

C: {4, - 12/5}

Step-by-step explanation:

Let's actually solve |-4+5x|=16: Divide all 3 terms by 5. Then: |-4/5 + x| = 16/5.

If we were to graph this, the center (on a number line) would be at - 4/5. Now if we add 16/5 to - 4/5, we get 12/5, the larger solution; if we subtract 16/5 from - 4/5, we get - 20/5, the smaller solution, equivalent to - 4. Correct answer choice is C.