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Popular >

7-|2x+8|<= 1

Solution

7 - ∣ 2 x + 8 ∣ \leq 1

Solution

x \leq - 7 or x \geq - 1

+1

Interval Notation

(- \infty, - 7] \cup [- 1, \infty)

Solution steps

7 - ∣ 2 x + 8 ∣ \leq 1

Move

7

to the right side

- ∣ 2 x + 8 ∣ \leq - 6

Multiply both sides by

- 1

∣ 2 x + 8 ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 8 \leq - 6 or 2 x + 8 \geq 6

2 x + 8 \leq - 6 or 2 x + 8 \geq 6

x \leq - 7 or x \geq - 1

Popular Examples

4 (x + 1) = 3 (x + 1)

factor 50k^3-40k^2+75k-60 factor

50 k^{3} - 40 k^{2} + 75 k - 60

simplify 1/16+1/64+1/144+1/256 simplify

\frac{1}{16} + \frac{1}{64} + \frac{1}{144} + \frac{1}{256}

- 2 t^{2} + 3 t + 8 = 0

3.2 = \frac{t}{8}

Frequently Asked Questions (FAQ)

What is 7-|2x+8|<= 1 ?
The solution to 7-|2x+8|<= 1 is x<=-7\lor x>=-1