What is 2sqrt(x-8)<= 24 ?

The solution to 2sqrt(x-8)<= 24 is 8<= x<= 152

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sqrt(x-8)<= 24

2 x - 8 \leq 24

8 \leq x \leq 152

Interval Notation

[8, 152]

Solution steps

2 x - 8 \leq 24

Divide both sides by

2

\frac{2 x - 8}{2} \leq \frac{24}{2}

Simplify

x - 8 \leq 12

Square both sides

(x - 8)^{2} \leq 1 2^{2}

Simplify

x - 8 \leq 144

Move

8

to the right side

x \leq 152

Find singularity points

Find non-negative values for radicals:

x \geq 8

Combine the intervals

x \leq 152 and x \geq 8

Merge Overlapping Intervals

8 \leq x \leq 152

5 x + 1 = - 5 x + 10

3 (3 - 8 x) + 5 x < 2 (9 + 6 x)

x^{4} + 4 x^{2} - 32

- \frac{3}{2} + 5

2 x^{2} - 9 x + 4 = 9