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Popular >

x^2>= |x|

Solution

x^{2} \geq ∣ x ∣

Solution

x \leq - 1 or x = 0 or x \geq 1

+1

Interval Notation

(- \infty, - 1] \cup x = 0 \cup [1, \infty)

Solution steps

x^{2} \geq ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x \leq - 1 or (x = 0 or x \geq 1)

Merge Overlapping Intervals

x \leq - 1 or x = 0 or x \geq 1

Popular Examples

(4x-1)/2 =(x+5)/3

\frac{4 x - 1}{2} = \frac{x + 5}{3}

\frac{2}{3} \geq - \frac{1}{2} x

simplify (2/3)^5(2/3)^{-3}(2/3)^4(2/3)^5 simplify

(\frac{2}{3})^{5} (\frac{2}{3})^{- 3} (\frac{2}{3})^{4} (\frac{2}{3})^{5}

factor 3m-2n-2nx^4+3mx^4 factor

3 m - 2 n - 2 n x^{4} + 3 m x^{4}

simplify 1/2-5/3 simplify

\frac{1}{2} - \frac{5}{3}

Frequently Asked Questions (FAQ)

What is x^2>= |x| ?
The solution to x^2>= |x| is x<=-1\lor x=0\lor x>= 1