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Popular >

|x+7|<= 6

Solution

∣ x + 7 ∣ \leq 6

Solution

- 13 \leq x \leq - 1

+1

Interval Notation

[- 13, - 1]

Solution steps

∣ x + 7 ∣ \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq x + 7 \leq 6

x + 7 \geq - 6 and x + 7 \leq 6

x \geq - 13 and x \leq - 1

Merge Overlapping Intervals

- 13 \leq x \leq - 1

Popular Examples

factor (x^x+x^{x-n}y^x)/(x^n+y^x)factor

\frac{x ^{x} + x ^{x - n} y ^{x}}{x ^{n} + y ^{x}}

2x+3(x-3)=6[2x-3(x-5)]

2 x + 3 (x - 3) = 6 [2 x - 3 (x - 5)]

2 (- 8 + x) = - 10

factor x^4+6x^3+x^2-24x+16 factor

x^{4} + 6 x^{3} + x^{2} - 24 x + 16

factor c^2+11c-12 factor

c^{2} + 11 c - 12

Frequently Asked Questions (FAQ)

What is |x+7|<= 6 ?
The solution to |x+7|<= 6 is -13<= x<=-1