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Popular >

x(x^2-1)<= 0

Solution

x (x^{2} - 1) \leq 0

Solution

x \leq - 1 or 0 \leq x \leq 1

+1

Interval Notation

(- \infty, - 1] \cup [0, 1]

Solution steps

x (x^{2} - 1) \leq 0

Factor

x (x^{2} - 1) : x (x + 1) (x - 1)

x (x + 1) (x - 1) \leq 0

Identify the intervals

x \leq - 1 or 0 \leq x \leq 1

Popular Examples

(((x+2)(x^2-2x+1)))/((-4+3x-2x^2))>= 0

\frac{( ( x + 2 ) ( x ^{2} - 2 x + 1 ) )}{( - 4 + 3 x - 2 x ^{2} )} \geq 0

(x^3-1)(x^3+1)(3-x)*x>= 0

(x^{3} - 1) (x^{3} + 1) (3 - x) \cdot x \geq 0

x < \frac{1}{x}

((3x-x^2))/(((x+4)^2))>= 0

\frac{( 3 x - x ^{2} )}{( ( x + 4 ) ^{2} )} \geq 0

\frac{x}{x - 1} > \frac{1}{x}

Frequently Asked Questions (FAQ)

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