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Popular >

-x^2+4x<4

Solution

- x^{2} + 4 x < 4

Solution

x < 2 or x > 2

+1

Interval Notation

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

Solution steps

- x^{2} + 4 x < 4

Rewrite in standard form

- x^{2} + 4 x - 4 < 0

Factor

- x^{2} + 4 x - 4 : - (x - 2)^{2}

- (x - 2)^{2} < 0

Multiply both sides by

- 1

(x - 2)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

x - 2 < 0 or x - 2 > 0

x - 2 < 0 : x < 2

x - 2 > 0 : x > 2

Combine the intervals

x < 2 or x > 2

Popular Examples

simplify 5/(12x^4y)-1/(5x^2y^3)simplify

\frac{5}{12 x ^{4} y} - \frac{1}{5 x ^{2} y ^{3}}

9 x^{2} = 16

simplify 4^{3/2}simplify

4^{\frac{3}{2}}

x^{2} - 2 x + 1 \geq 0

25 = q + 20

Frequently Asked Questions (FAQ)

What is -x^2+4x<4 ?
The solution to -x^2+4x<4 is x<2\lor x>2