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Popular >

-9|r+1|<=-27

Solution

- 9 ∣ r + 1 ∣ \leq - 27

Solution

r \leq - 4 or r \geq 2

+1

Interval Notation

(- \infty, - 4] \cup [2, \infty)

Solution steps

- 9 ∣ r + 1 ∣ \leq - 27

Multiply both sides by

- 1

9 ∣ r + 1 ∣ \geq 27

Divide both sides by

9

∣ r + 1 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

r + 1 \leq - 3 or r + 1 \geq 3

r + 1 \leq - 3 or r + 1 \geq 3

r \leq - 4 or r \geq 2

Popular Examples

∣ 5 - 2 x ∣ > 10

x^{2} - x + 1 = 0

factor 1+x^2+2x factor

1 + x^{2} + 2 x

0.9=(40*(x))*1/(0.000000823)

0.9 = (40 \cdot (x)) \cdot \frac{1}{0.000000823}

78 \geq 312

Frequently Asked Questions (FAQ)

What is -9|r+1|<=-27 ?
The solution to -9|r+1|<=-27 is r<=-4\lor r>= 2