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Solve and graph the solution set on a number line.

|5x + 7| - 2 < 4

<------------------------>
-5 -4 -3 -2 -1 0 1 2 3 4

1 answer

|5x + 7| - 2 < 4
|5x + 7| < 6
5x+7 < 6 AND -5x - 7 < 6
5x < -1 AND -5x < 13
x < -1/5 AND x > -13/5

-13/5 < x < -1/5

draw "open" dots at -13/5 and -1/5 and join with a solid line
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