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Popular >

8-9|5n+5|<=-37

Solution

8 - 9 ∣ 5 n + 5 ∣ \leq - 37

Solution

n \leq - 2 or n \geq 0

+1

Interval Notation

(- \infty, - 2] \cup [0, \infty)

Solution steps

8 - 9 ∣ 5 n + 5 ∣ \leq - 37

Move

8

to the right side

- 9 ∣ 5 n + 5 ∣ \leq - 45

Multiply both sides by

- 1

9 ∣ 5 n + 5 ∣ \geq 45

Divide both sides by

9

∣ 5 n + 5 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 n + 5 \leq - 5 or 5 n + 5 \geq 5

5 n + 5 \leq - 5 or 5 n + 5 \geq 5

n \leq - 2 or n \geq 0

Popular Examples

factor 8t^3-125 factor

8 t^{3} - 125

- 6 x - 21 = - 9 x + 6

\frac{5}{6 X} = - 15

simplify-2/3*1/3 simplify

- \frac{2}{3} \cdot \frac{1}{3}

simplify (10!)/(7!3!)simplify

\frac{10 !}{7 ! 3 !}

Frequently Asked Questions (FAQ)

What is 8-9|5n+5|<=-37 ?
The solution to 8-9|5n+5|<=-37 is n<=-2\lor n>= 0