Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation. 5<=3+|2x-7|

Zoe Oneal

Zoe Oneal

Answered question

2020-12-16

Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation.
53+|2x7|

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2020-12-17Added 96 answers

Simplify the give expression as follows.
3+|2x7|5
3+|2x7|353 (subtract 3 from both sides)
|2x7|2
by the absolute rule, if |u|a, a>0 then |u|aand|u|a
2x72and2x72 ( by absolute rule)
2x7+72and2x7+72+7 (add 7 on both sides)
2x252and2x292 (divie by 2 onn both sides)
x52andx92
Therefore, the solution set of the given inequaliry is (,52][92,).

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