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Popular >

x(x-8)+8>4(1-x)

Solution

x (x - 8) + 8 > 4 (1 - x)

Solution

x < 2 or x > 2

+1

Interval Notation

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

Solution steps

x (x - 8) + 8 > 4 (1 - x)

Rewrite in standard form

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

Factor

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

(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

(x+1)(2x-3)<= 2x^2

(x + 1) (2 x - 3) \leq 2 x^{2}

- x^{3} + x^{2} - 2 x > 0

(3x^2-x-4)(x-1)(2x-3)>0

(3 x^{2} - x - 4) (x - 1) (2 x - 3) > 0

x^2+2x-10>2(x-5)

x^{2} + 2 x - 10 > 2 (x - 5)

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

\frac{( x ^{2} - 1 )}{( x ^{2} )} > 0

Frequently Asked Questions (FAQ)

What is x(x-8)+8>4(1-x) ?
The solution to x(x-8)+8>4(1-x) is x<2\lor x>2