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Popular >

|2x-5|<3

Solution

∣ 2 x - 5 ∣ < 3

Solution

1 < x < 4

+1

Interval Notation

(1, 4)

Solution steps

∣ 2 x - 5 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 2 x - 5 < 3

2 x - 5 > - 3 and 2 x - 5 < 3

x > 1 and x < 4

Merge Overlapping Intervals

1 < x < 4

Popular Examples

factor t^2+8t+15 factor

t^{2} + 8 t + 15

factor y^2+8y+16 factor

y^{2} + 8 y + 16

log_{sqrt(3)}(1/27)=x

lo g_{3} (\frac{1}{27}) = x

simplify (2^{3/2})^4 simplify

(2^{\frac{3}{2}})^{4}

2 x^{2} + 25 x + 33 = 0

Frequently Asked Questions (FAQ)

What is |2x-5|<3 ?
The solution to |2x-5|<3 is 1<x<4