What is -5+((2*(25+100)))/(3-x)<0 ?

The solution to -5+((2*(25+100)))/(3-x) 3

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-5+((2*(25+100)))/(3-x)<0

- 5 + \frac{( 2 \cdot ( 25 + 100 ) )}{3 - x} < 0

x < - 47 or x > 3

Interval Notation

(- \infty, - 47) \cup (3, \infty)

Solution steps

- 5 + \frac{2 ( 25 + 100 )}{3 - x} < 0

Rewrite in standard form

\frac{5 x + 235}{3 - x} < 0

Factor

\frac{5 x + 235}{3 - x} : \frac{5 ( x + 47 )}{3 - x}

\frac{5 ( x + 47 )}{3 - x} < 0

Divide both sides by

5

\frac{\frac{5 ( x + 47 )}{3 - x}}{5} < \frac{0}{5}

Simplify

\frac{x + 47}{3 - x} < 0

Identify the intervals

x < - 47 or x > 3

3 x^{2} - 9 x

3 s^{2} + 30 s + 63 = 0

x - \frac{1}{5} \geq \frac{1}{4}

x^{2} + 2 x = 8

1420 - 3125

What is -5+((2*(25+100)))/(3-x)<0 ?
The solution to -5+((2*(25+100)))/(3-x)<0 is x<-47\lor x>3