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Popular >

|x+7|+5<= 7

Solution

∣ x + 7 ∣ + 5 \leq 7

Solution

- 9 \leq x \leq - 5

+1

Interval Notation

[- 9, - 5]

Solution steps

∣ x + 7 ∣ + 5 \leq 7

Move

5

to the right side

∣ x + 7 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x + 7 \leq 2

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

x \geq - 9 and x \leq - 5

Merge Overlapping Intervals

- 9 \leq x \leq - 5

Popular Examples

- 3 - 8 \leq - 23

factor 4-a^2-2ab-b^2 factor

4 - a^{2} - 2 ab - b^{2}

simplify (9^{3/8})^4 simplify

(9^{\frac{3}{8}})^{4}

factor 3x^2-6x-5x+10 factor

3 x^{2} - 6 x - 5 x + 10

1/2 (2x+1)-2/3 (x-2)= 1/6

\frac{1}{2} (2 x + 1) - \frac{2}{3} (x - 2) = \frac{1}{6}

Frequently Asked Questions (FAQ)

What is |x+7|+5<= 7 ?
The solution to |x+7|+5<= 7 is -9<= x<=-5