l 1+x l<8 solving absolute value inequalities

solving absolute value inequalities
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1 Answer

|1+x|<8.

When 1+x≥0, x≥-1 and this becomes 1+x<8, so x<7. So, -1≤x<7 is a solution.

When 1+x≤0, x≤-1 and this becomes -1-x<8, -9<x, that is x>-9. So, -9<x≤-1 is a solution.

We can combine these, so -9<x<7 is the solution.

by Top Rated User (1.2m points)

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