en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4|6-2a|+8<= 24

Solution

4 ∣ 6 - 2 a ∣ + 8 \leq 24

Solution

1 \leq a \leq 5

+1

Interval Notation

[1, 5]

Solution steps

4 ∣ 6 - 2 a ∣ + 8 \leq 24

Move

8

to the right side

4 ∣ 6 - 2 a ∣ \leq 16

Divide both sides by

4

∣ 6 - 2 a ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq 6 - 2 a \leq 4

6 - 2 a \geq - 4 and 6 - 2 a \leq 4

a \leq 5 and a \geq 1

Merge Overlapping Intervals

1 \leq a \leq 5

Popular Examples

factor 2x^2yz-2xy^2z+2x^2y^2 factor

2 x^{2} yz - 2 x y^{2} z + 2 x^{2} y^{2}

8 + \frac{b}{- 4} = 5

factor 6x^2+33x+36 factor

6 x^{2} + 33 x + 36

simplify 3/2 (1.38*10^{-23})417.15 simplify

\frac{3}{2} (1.38 \cdot 1 0^{- 23}) 417.15

- 2 (1) + 8

Frequently Asked Questions (FAQ)

What is 4|6-2a|+8<= 24 ?
The solution to 4|6-2a|+8<= 24 is 1<= a<= 5