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Popular >

|2x+5|<0.5

Solution

∣ 2 x + 5 ∣ < 0.5

Solution

- 2.75 < x < - 2.25

+1

Interval Notation

(- 2.75, - 2.25)

Solution steps

∣ 2 x + 5 ∣ < 0.5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 0.5 < 2 x + 5 < 0.5

2 x + 5 > - 0.5 and 2 x + 5 < 0.5

x > - 2.75 and x < - 2.25

Merge Overlapping Intervals

- 2.75 < x < - 2.25

Popular Examples

(2-x)(x+1)(x^2-16)>= 0

(2 - x) (x + 1) (x^{2} - 16) \geq 0

simplify 1/125 x^3+27y^3 simplify

\frac{1}{125} x^{3} + 27 y^{3}

- 3 x^{2} + 5 x - 2 = 0

(2x+3)/(x-2)<5x-2

\frac{2 x + 3}{x - 2} < 5 x - 2

factor 4x^2+xy-18y^2 factor

4 x^{2} + x y - 18 y^{2}

Frequently Asked Questions (FAQ)

What is |2x+5|<0.5 ?
The solution to |2x+5|<0.5 is -2.75<x<-2.25