en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9|m-8|-10<= 26

Solution

9 ∣ m - 8 ∣ - 10 \leq 26

Solution

4 \leq m \leq 12

+1

Interval Notation

[4, 12]

Solution steps

9 ∣ m - 8 ∣ - 10 \leq 26

Move

10

to the right side

9 ∣ m - 8 ∣ \leq 36

Divide both sides by

9

∣ m - 8 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq m - 8 \leq 4

m - 8 \geq - 4 and m - 8 \leq 4

m \geq 4 and m \leq 12

Merge Overlapping Intervals

4 \leq m \leq 12

Popular Examples

-5/3 n+4/3+3/4 = 19/4

- \frac{5}{3} n + \frac{4}{3} + \frac{3}{4} = \frac{19}{4}

2 \leq \frac{x}{9} + 1

- 5 x^{2} - 24 x + 5 = 0

c + 23 = 10

f = 6^{2} + 3 (6) - \frac{6}{2}

Frequently Asked Questions (FAQ)

What is 9|m-8|-10<= 26 ?
The solution to 9|m-8|-10<= 26 is 4<= m<= 12