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Popular >

7-|2x+8|<= 5

Solution

7 - ∣ 2 x + 8 ∣ \leq 5

Solution

x \leq - 5 or x \geq - 3

+1

Interval Notation

(- \infty, - 5] \cup [- 3, \infty)

Solution steps

7 - ∣ 2 x + 8 ∣ \leq 5

Move

7

to the right side

- ∣ 2 x + 8 ∣ \leq - 2

Multiply both sides by

- 1

∣ 2 x + 8 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - 5 or x \geq - 3

Popular Examples

x + 1 = \frac{2 x + 2}{2}

∣ - 4 y ∣ = 12

2/7 x+1/9 = 12/5 x-14/7

\frac{2}{7} x + \frac{1}{9} = \frac{12}{5} x - \frac{14}{7}

2 x^{2} + 40 x = - 254

v + 2 = v - 2

Frequently Asked Questions (FAQ)

What is 7-|2x+8|<= 5 ?
The solution to 7-|2x+8|<= 5 is x<=-5\lor x>=-3