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Popular >

5/((7-x)^2)>0

Solution

\frac{5}{( 7 - x ) ^{2}} > 0

Solution

x < 7 or x > 7

+1

Interval Notation

(- \infty, 7) \cup (7, \infty)

Solution steps

\frac{5}{( 7 - x ) ^{2}} > 0

Divide both sides by

5

\frac{\frac{5}{( 7 - x ) ^{2}}}{5} > \frac{0}{5}

Simplify

\frac{1}{( 7 - x ) ^{2}} > 0

If

\frac{1}{a} > 0

then

a > 0

(7 - x)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

7 - x < 0 or 7 - x > 0

7 - x < 0 : x > 7

7 - x > 0 : x < 7

Combine the intervals

x > 7 or x < 7

Merge Overlapping Intervals

x < 7 or x > 7

Popular Examples

2 x + 6 = 3 x + 9 - 3

simplify sqrt(274)simplify

274

(3x)/5-x= x/(10)-5/2

\frac{3 x}{5} - x = \frac{x}{10} - \frac{5}{2}

x^{2} + 12 x + 12 = 0

x^{2} - 5 x - 3 = 0

Frequently Asked Questions (FAQ)

What is 5/((7-x)^2)>0 ?
The solution to 5/((7-x)^2)>0 is x<7\lor x>7