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Popular >

-X^2-3<= X-3

Solution

- X^{2} - 3 \leq X - 3

Solution

X \leq - 1 or X \geq 0

+1

Interval Notation

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

Solution steps

- X^{2} - 3 \leq X - 3

Rewrite in standard form

- X^{2} - X \leq 0

Factor

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

- X (X + 1) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- X (X + 1)) (- 1) \geq 0 \cdot (- 1)

Simplify

X (X + 1) \geq 0

Identify the intervals

X \leq - 1 or X \geq 0

Popular Examples

4 x^{2} = 11 x + 3

m^{2} - 4 m - 45 = 0

2x^3-3x^2-2x+3<= 0

2 x^{3} - 3 x^{2} - 2 x + 3 \leq 0

7/13 (t-1)-64/13 =-5

\frac{7}{13} (t - 1) - \frac{64}{13} = - 5

1/(x+3)-1/(x+1)<2

\frac{1}{x + 3} - \frac{1}{x + 1} < 2

Frequently Asked Questions (FAQ)

What is -X^2-3<= X-3 ?
The solution to -X^2-3<= X-3 is X<=-1\lor X>= 0