Solve the inequality l -6 + 4x l =< 7

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The absolute value |x| is equal to x for all values of x >= 0 and -x for all values of x< 0.

We have l -6 + 4x l =< 7

As |x| is a positive value we have

-7=< (-6 + 4x) =< 7

=> -7 + 6=< -6 + 6 + 4x =< 7 + 6

=> -1 =< 4x =< 13

=>...

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