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Popular >

-2|5x+6|+1<=-27

Solution

- 2 ∣ 5 x + 6 ∣ + 1 \leq - 27

Solution

x \leq - 4 or x \geq \frac{8}{5}

+2

Interval Notation

(- \infty, - 4] \cup [\frac{8}{5}, \infty)

Decimal Notation

x \leq - 4 or x \geq 1.6

Solution steps

- 2 ∣ 5 x + 6 ∣ + 1 \leq - 27

Move

1

to the right side

- 2 ∣ 5 x + 6 ∣ \leq - 28

Multiply both sides by

- 1

2 ∣ 5 x + 6 ∣ \geq 28

Divide both sides by

2

∣ 5 x + 6 ∣ \geq 14

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 x + 6 \leq - 14 or 5 x + 6 \geq 14

5 x + 6 \leq - 14 or 5 x + 6 \geq 14

x \leq - 4 or x \geq \frac{8}{5}

Popular Examples

- 7 x^{2} + 14 x + 21 = 0

factor g^2+11g+24 factor

g^{2} + 11 g + 24

simplify a/(a^2-4)-1/(a-2)simplify

\frac{a}{a ^{2} - 4} - \frac{1}{a - 2}

factor x^2+5x-104 factor

x^{2} + 5 x - 104

35-22x+6-18x=14-30x+32

35 - 22 x + 6 - 18 x = 14 - 30 x + 32

Frequently Asked Questions (FAQ)

What is -2|5x+6|+1<=-27 ?
The solution to -2|5x+6|+1<=-27 is x<=-4\lor x>= 8/5