What is solvefor x,|2x-3|<3 ?

The solution to solvefor x,|2x-3|<3 is 0<x<3

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Solve for x |2x-3|<3

solve for

x, ∣ 2 x - 3 ∣ < 3

0 < x < 3

Solution steps

∣ 2 x - 3 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 2 x - 3 < 3

2 x - 3 > - 3 and 2 x - 3 < 3

x > 0 and x < 3

Merge Overlapping Intervals

0 < x < 3

\frac{25}{π}

x, - 4 (3 x + 1) + x - 3 = 15

3 x^{2} - 10 x + 3 = 0

37%

x, 3^{x} = 40