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Popular >

5|x+4|<= 10

Solution

5 ∣ x + 4 ∣ \leq 10

Solution

- 6 \leq x \leq - 2

+1

Interval Notation

[- 6, - 2]

Solution steps

5 ∣ x + 4 ∣ \leq 10

Divide both sides by

5

∣ x + 4 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x + 4 \leq 2

x + 4 \geq - 2 and x + 4 \leq 2

x \geq - 6 and x \leq - 2

Merge Overlapping Intervals

- 6 \leq x \leq - 2

Popular Examples

3 x^{2} - 12 x - 7 = 0

(n + 2) (n - 2) = 0

factor 5x^2-3x factor

5 x^{2} - 3 x

factor 12c^2+60c+75 factor

12 c^{2} + 60 c + 75

simplify (4+10i)/(3+i)simplify

\frac{4 + 10 i}{3 + i}

Frequently Asked Questions (FAQ)

What is 5|x+4|<= 10 ?
The solution to 5|x+4|<= 10 is -6<= x<=-2