The solution to the inequality is (7/6, ∝) and (-∝, 7/6)
The inequality expression is given as:
2−5|6x−4|<−13
Subtract 2 from both sides
|6x−4|<−15
Divide through by -5
|6x−4| > 3
Remove the inequality sign
6x - 4 > 3 or 6x - 4 < 3
Add 4 to both sides
6x > 7 or 6x < 7
Divide by 6
x > 7/6 or x < 7/6
In interval notation, we have:
(7/6, ∝) and (-∝, 7/6)
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