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miv72
2 months ago
15

Amber is solving the inequality |X+6|- 12 <13 by graphing. Which equations should Amber graph?

Mathematics
1 answer:
Inessa [12.5K]2 months ago
7 0

We initiate with:

|X+6|- 12 < 13

We can then add 12 to both sides:

|X+6| < 13 + 12 = 25

|X+6| < 25

This leads us to form two separate equations:

if x > -6, consequently |X+6|  = x + 6

        (x + 6) < 25

         x < 25 - 6

          x <  19

If x < -6, so |X+6|  = -(x + 6)

         -(x + 6) < 25

          -x < 31

            x > -31

From these equations, we find:

-31 < x < 19

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