Solve absolute value inequality : abs(x) > 3

Falak Kinney 2021-01-10 Answered
Solve absolute value inequality : |x|>3
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Expert Answer

Leonard Stokes
Answered 2021-01-11 Author has 98 answers
Step 1
the given absolute value inequality is:
|x|>3
we have to solve the given absolute value inequality.
Step 2
the given absolute value inequality is |x|>3
|x|>3
as we know that if |x|>a then x(,a)(a,)
that implies if |x|>a then x<aorx>a
therefore if |x|>3 then x<3orx>3
therefore the solution of the given absolute value inequality |x|>3 is x<3orx>3.
the solution of the given absolute value inequality |x|>3 in interval notation is x(,3)(3,)
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