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Popular >

-x^2+8x-7>0

Solution

- x^{2} + 8 x - 7 > 0

Solution

1 < x < 7

+1

Interval Notation

(1, 7)

Solution steps

- x^{2} + 8 x - 7 > 0

Factor

- x^{2} + 8 x - 7 : - (x - 1) (x - 7)

- (x - 1) (x - 7) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 1) (x - 7)) (- 1) < 0 \cdot (- 1)

Simplify

(x - 1) (x - 7) < 0

Identify the intervals

1 < x < 7

Popular Examples

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\frac{lo g _{10} ( 1 )}{2 x} > 0

((15-4x))/((x^2-x-12))<4

\frac{( 15 - 4 x )}{( x ^{2} - x - 12 )} < 4

\frac{( x + 7 )}{x} > 5

\frac{4}{x + 3} > 5

Frequently Asked Questions (FAQ)

What is -x^2+8x-7>0 ?
The solution to -x^2+8x-7>0 is 1<x<7