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Popular >

|x+7|<= 4

Solution

∣ x + 7 ∣ \leq 4

Solution

- 11 \leq x \leq - 3

+1

Interval Notation

[- 11, - 3]

Solution steps

∣ x + 7 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq x + 7 \leq 4

x + 7 \geq - 4 and x + 7 \leq 4

x \geq - 11 and x \leq - 3

Merge Overlapping Intervals

- 11 \leq x \leq - 3

Popular Examples

factor 48x^7y-60x^4y^2 factor

48 x^{7} y - 60 x^{4} y^{2}

x^{2} = 169

8x-3-6x+4=4x-2+x+3

8 x - 3 - 6 x + 4 = 4 x - 2 + x + 3

simplify sqrt(288)simplify

288

factor 16x^2+48x-14 factor

16 x^{2} + 48 x - 14

Frequently Asked Questions (FAQ)

What is |x+7|<= 4 ?
The solution to |x+7|<= 4 is -11<= x<=-3