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Popular >

(x+1)*(4-2x)<0

Solution

(x + 1) \cdot (4 - 2 x) < 0

Solution

x < - 1 or x > 2

+1

Interval Notation

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

Solution steps

(x + 1) (4 - 2 x) < 0

Rewrite in standard form

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

Factor

- 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

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\frac{100}{( x + 20 )} > 0

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Frequently Asked Questions (FAQ)

What is (x+1)*(4-2x)<0 ?
The solution to (x+1)*(4-2x)<0 is x<-1\lor x>2