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Popular >

4|6+2s|-27<=-3

Solution

4 ∣ 6 + 2 s ∣ - 27 \leq - 3

Solution

- 6 \leq s \leq 0

+1

Interval Notation

[- 6, 0]

Solution steps

4 ∣ 6 + 2 s ∣ - 27 \leq - 3

Move

27

to the right side

4 ∣ 6 + 2 s ∣ \leq 24

Divide both sides by

4

∣ 6 + 2 s ∣ \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq 6 + 2 s \leq 6

6 + 2 s \geq - 6 and 6 + 2 s \leq 6

s \geq - 6 and s \leq 0

Merge Overlapping Intervals

- 6 \leq s \leq 0

Popular Examples

\frac{1}{x} < 4

8(-2x-4)+12=-52

8 (- 2 x - 4) + 12 = - 52

1/4 x+7<= 1/3-2

\frac{1}{4} x + 7 \leq \frac{1}{3} - 2

5 a - 1 = 14

simplify (y^8)/(x^{-3)x^7y^6}simplify

\frac{y ^{8}}{x ^{- 3} x ^{7} y ^{6}}

Frequently Asked Questions (FAQ)

What is 4|6+2s|-27<=-3 ?
The solution to 4|6+2s|-27<=-3 is -6<= s<= 0