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Popular >

(5-x)<(5-x)^2

Solution

(5 - x) < (5 - x)^{2}

Solution

x < 4 or x > 5

+1

Interval Notation

(- \infty, 4) \cup (5, \infty)

Solution steps

5 - x < (5 - x)^{2}

Rewrite in standard form

- x^{2} + 9 x - 20 < 0

Factor

- x^{2} + 9 x - 20 : - (x - 4) (x - 5)

- (x - 4) (x - 5) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 4) (x - 5)) (- 1) > 0 \cdot (- 1)

Simplify

(x - 4) (x - 5) > 0

Identify the intervals

x < 4 or x > 5

Popular Examples

factor 5x^2+21+4 factor

5 x^{2} + 21 + 4

2 x^{2} + 4 x = 6

18 n + 12 = 27 n + 3

simplify 125^{(-2)/3}simplify

12 5^{\frac{- 2}{3}}

2 x^{2} - 4 x \geq 0

Frequently Asked Questions (FAQ)

What is (5-x)<(5-x)^2 ?
The solution to (5-x)<(5-x)^2 is x<4\lor x>5