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Popular >

5|x+2|+3<= 38

Solution

5 ∣ x + 2 ∣ + 3 \leq 38

Solution

- 9 \leq x \leq 5

+1

Interval Notation

[- 9, 5]

Solution steps

5 ∣ x + 2 ∣ + 3 \leq 38

Move

3

to the right side

5 ∣ x + 2 ∣ \leq 35

Divide both sides by

5

∣ x + 2 ∣ \leq 7

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 7 \leq x + 2 \leq 7

x + 2 \geq - 7 and x + 2 \leq 7

x \geq - 9 and x \leq 5

Merge Overlapping Intervals

- 9 \leq x \leq 5

Popular Examples

2 n^{2} + 15 n + 13 = 0

\frac{7 x}{3} + 2 = - 15

- 7 x \geq - 15

- 6 n < - 12

simplify 2/8 simplify

\frac{2}{8}

Frequently Asked Questions (FAQ)

What is 5|x+2|+3<= 38 ?
The solution to 5|x+2|+3<= 38 is -9<= x<= 5