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Popular >

|2x+3|<5

Solution

∣ 2 x + 3 ∣ < 5

Solution

- 4 < x < 1

+1

Interval Notation

(- 4, 1)

Solution steps

∣ 2 x + 3 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 2 x + 3 < 5

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

x > - 4 and x < 1

Merge Overlapping Intervals

- 4 < x < 1

Popular Examples

x^{2} + 11 = 0

simplify sqrt(63)-sqrt(175)+4sqrt(112)simplify

63 - 175 + 4112

factor-3t^2+11t-6 factor

- 3 t^{2} + 11 t - 6

x + x + 3 - 3 x = 3

simplify 1-(1/2)^2 simplify

1 - (\frac{1}{2})^{2}

Frequently Asked Questions (FAQ)

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