en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(|1-4x|)>= 2x+1

Solution

∣ 1 - 4 x ∣ \geq 2 x + 1

Solution

x \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

∣ 1 - 4 x ∣ \geq 2 x + 1

If

f (x) \geq g (x)

then

g (x) < 0 or g (x) \geq 0

For

2 x + 1 < 0 : x < - \frac{1}{2}

For

2 x + 1 \geq 0 : - \frac{1}{2} \leq x \leq 0

Combine the intervals

- \frac{1}{2} \leq x \leq 0 or x < - \frac{1}{2}

Merge Overlapping Intervals

x \leq 0

Verify Solutions:

x \leq 0

True

The solution is

x \leq 0

Popular Examples

- 3 \leq x \leq 9

simplify \sqrt[4]{p}*sqrt(p^3)simplify

7=(4(1)^3)/9+(2x(1)^{3/2})/3+(x^2)/4

7 = \frac{4 ( 1 ) ^{3}}{9} + \frac{2 x ( 1 ) ^{\frac{3}{2}}}{3} + \frac{x ^{2}}{4}

0 = 200 \cdot 2 \cdot 2 - 2 \cdot x

3 x - 5 x + 8 x + x = 42

Frequently Asked Questions (FAQ)

What is sqrt(|1-4x|)>= 2x+1 ?
The solution to sqrt(|1-4x|)>= 2x+1 is x<= 0