What is solvefor x,|2x-5|<9 ?

The solution to solvefor x,|2x-5|<9 is -2<x<7

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Solve for x |2x-5|<9

solve for

x, ∣ 2 x - 5 ∣ < 9

- 2 < x < 7

Solution steps

∣ 2 x - 5 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < 2 x - 5 < 9

2 x - 5 > - 9 and 2 x - 5 < 9

x > - 2 and x < 7

Merge Overlapping Intervals

- 2 < x < 7

- 100

x, \frac{1}{x} - \frac{3}{4} = \frac{x}{4}

(- 5) \cdot 0.8

\frac{6}{( 85 )}

17 \frac{1}{2}