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Popular >

3x-x^2<= 2

Solution

3 x - x^{2} \leq 2

Solution

x \leq 1 or x \geq 2

+1

Interval Notation

(- \infty, 1] \cup [2, \infty)

Solution steps

3 x - x^{2} \leq 2

Rewrite in standard form

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

Factor

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

- (x - 1) (x - 2) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 1) (x - 2)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x - 1) (x - 2) \geq 0

Identify the intervals

x \leq 1 or x \geq 2

Popular Examples

simplify (-2x)^{-1}simplify

(- 2 x)^{- 1}

5 x^{2} + 5 x - 3 = 2 x^{2}

factor ((1/4 x^2+ax+(2a-8)-8))/(2(x+2))factor

\frac{( \frac{1}{4} x ^{2} + a x + ( 2 a - 8 ) - 8 )}{2 ( x + 2 )}

- x^{2} - x + 2 = 0

simplify 16.5*1/10 simplify

16.5 \cdot \frac{1}{10}

Frequently Asked Questions (FAQ)

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