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Popular >

2|x+5|+3<25

Solution

2 ∣ x + 5 ∣ + 3 < 25

Solution

- 16 < x < 6

+1

Interval Notation

(- 16, 6)

Solution steps

2 ∣ x + 5 ∣ + 3 < 25

Move

3

to the right side

2 ∣ x + 5 ∣ < 22

Divide both sides by

2

∣ x + 5 ∣ < 11

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 11 < x + 5 < 11

x + 5 > - 11 and x + 5 < 11

x > - 16 and x < 6

Merge Overlapping Intervals

- 16 < x < 6

Popular Examples

-5x^2+13x-125=0

- 5 x^{2} + 13 x - 125 = 0

∣ x - 2 ∣ = 4

simplify 10/11-10/15 simplify

\frac{10}{11} - \frac{10}{15}

3 (7 - x) - 6 = 0

10 - 4 x \leq 1

Frequently Asked Questions (FAQ)

What is 2|x+5|+3<25 ?
The solution to 2|x+5|+3<25 is -16<x<6