en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|m+5|+9<= 30

Solution

∣ m + 5 ∣ + 9 \leq 30

Solution

- 26 \leq m \leq 16

+1

Interval Notation

[- 26, 16]

Solution steps

∣ m + 5 ∣ + 9 \leq 30

Move

9

to the right side

∣ m + 5 ∣ \leq 21

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 21 \leq m + 5 \leq 21

m + 5 \geq - 21 and m + 5 \leq 21

m \geq - 26 and m \leq 16

Merge Overlapping Intervals

- 26 \leq m \leq 16

Popular Examples

- 5 x + 6 > - 4

13 = \frac{3}{4} (5 x + 8)

- y^{2} + y + 6 = 0

∣ 3 x - 7 ∣ = 4 x

3 (2 x - 1) < 5 x - 4

Frequently Asked Questions (FAQ)

What is |m+5|+9<= 30 ?
The solution to |m+5|+9<= 30 is -26<= m<= 16