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Popular >

8-|2x+9|<= 7

Solution

8 - ∣ 2 x + 9 ∣ \leq 7

Solution

x \leq - 5 or x \geq - 4

+1

Interval Notation

(- \infty, - 5] \cup [- 4, \infty)

Solution steps

8 - ∣ 2 x + 9 ∣ \leq 7

Move

8

to the right side

- ∣ 2 x + 9 ∣ \leq - 1

Multiply both sides by

- 1

∣ 2 x + 9 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 9 \leq - 1 or 2 x + 9 \geq 1

2 x + 9 \leq - 1 or 2 x + 9 \geq 1

x \leq - 5 or x \geq - 4

Popular Examples

5 x - x^{2} = 4

a^{2} = 6.4

x^{2} - 4 x \leq ∣ x ∣

(2(4p+1))/5 <= (3+12p)/4

\frac{2 ( 4 p + 1 )}{5} \leq \frac{3 + 12 p}{4}

factor 224az+56ac-84yz-21yc factor

224 a z + 56 a c - 84 yz - 21 yc

Frequently Asked Questions (FAQ)

What is 8-|2x+9|<= 7 ?
The solution to 8-|2x+9|<= 7 is x<=-5\lor x>=-4