What is solvefor x,|2x-1|<5 ?

The solution to solvefor x,|2x-1|<5 is -2<x<3

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Solve for x |2x-1|<5

solve for

x, ∣ 2 x - 1 ∣ < 5

- 2 < x < 3

Solution steps

∣ 2 x - 1 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 2 x - 1 < 5

2 x - 1 > - 5 and 2 x - 1 < 5

x > - 2 and x < 3

Merge Overlapping Intervals

- 2 < x < 3

Number Line

- 2 < x < 3

- 30/6

\frac{( 25 ! )}{( 20 ! )}

80/10

t, (\frac{1 + 0.1}{12})^{12 t} = 2

0.0 2^{4}