Solve the following inequality algebraically. |x - 1| =>15

asked Jan 3, 2023 106k views

2 votes

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4 votes

We have the following:

$|x-1|\ge15$

solving for x:

$\begin{gathered} x-1\ge15\rightarrow x\ge16 \\ x-1\leq-15\rightarrow x\leq-14 \end{gathered}$

The answer is:

$(-\infty,-14\rbrack\cup\lbrack16,\infty)$

HongKilDong answered Jan 7, 2023

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