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Popular >

3x-2<x^2

Solution

3 x - 2 < x^{2}

Solution

x < 1 or x > 2

+1

Interval Notation

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

Solution steps

3 x - 2 < x^{2}

Rewrite in standard form

3 x - 2 - x^{2} < 0

Factor

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

- (x - 1) (x - 2) < 0

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

(x - 1) (x - 2) > 0

Identify the intervals

x < 1 or x > 2

Popular Examples

t/9+2(t/(18)+4)=10

\frac{t}{9} + 2 (\frac{t}{18} + 4) = 10

1/2 (x-1)^2+5=23

\frac{1}{2} (x - 1)^{2} + 5 = 23

factor 27x^3-64y^3 factor

27 x^{3} - 64 y^{3}

simplify 16^{(-2)/3}simplify

1 6^{\frac{- 2}{3}}

3 x + 3 = x + 7

Frequently Asked Questions (FAQ)

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