Solve absolute value inequality : abs(3x - 8) > 7

Dolly Robinson 2020-10-31 Answered
Solve absolute value inequality : |3x8|>7
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Expert Answer

tabuordy
Answered 2020-11-01 Author has 91 answers

Step 1
the given absolute value inequality is:
|3x8|>7
we have to solve the given absolute value inequality.
Step 2
the given absolute value inequality is |3x8|>7
|3x8|>7
as we know that if |x|>a then x(,a)(a,)
that implies if |x|>a then x<aorx>a
therefore,
if |3x8|>7 then
3x8<7or3x8>7
Therefore,
for 3x8<7
3x8+8<7+8
3x<1
x<13
Step 3
for 3x8>7
3x8+8>7+8
3x>15
x>153
x>5
therefore, if |3x8|>7 then x<13orx>5
therefore the solution of the given absolute value inequality |3x8|>7 is x<13orx>5
therefore the solution of the given absolute value inequality |3x8|>7 in interval notation is
x(,13)(5,)

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Jeffrey Jordon
Answered 2021-11-11 Author has 2087 answers

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