Which Of the following is the solution to 4|x+3|>8?

1 answer:

5 0

Too bad you haven't shared illustrations of the possible solutions.

Starting with 4|x+3|>8, div. both sides by 4: <span>|x+3|>2

Case 1: x+3 is already positive: then x+3>2, or x > -1

Case 2: x+3 is negative: Then -(x+3)>2, or -x - 3 > 2, or -5>x or x<-5

Draw a number line representing x values. Place empty circles at x = -5 and x = -1. Draw a vector from the circle at x = -1, to the right of x = -1. Draw a vector from the circle at x = - 5, to the left of x = -5. Note that x values between x = -5 and x = -1 are not solutions.</span>

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