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Popular >

3-|2x+8|<= 1

Solution

3 - ∣ 2 x + 8 ∣ \leq 1

Solution

x \leq - 5 or x \geq - 3

+1

Interval Notation

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

Solution steps

3 - ∣ 2 x + 8 ∣ \leq 1

Move

3

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

simplify 3/4*7/8-1/2 simplify

\frac{3}{4} \cdot \frac{7}{8} - \frac{1}{2}

8 - x \geq 5

(2X+3)/(\times+5)>= 1

\frac{2 X + 3}{\times + 5} \geq 1

x^3-7x+6=x^3+5x^2-2x-24

x^{3} - 7 x + 6 = x^{3} + 5 x^{2} - 2 x - 24

factor (43t-16t^2)-22 factor

(43 t - 16 t^{2}) - 22

Frequently Asked Questions (FAQ)

What is 3-|2x+8|<= 1 ?
The solution to 3-|2x+8|<= 1 is x<=-5\lor x>=-3