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Popular >

8/(3-x)<= 2

Solution

\frac{8}{3 - x} \leq 2

Solution

x \leq - 1 or x > 3

+1

Interval Notation

(- \infty, - 1] \cup (3, \infty)

Solution steps

\frac{8}{3 - x} \leq 2

Rewrite in standard form

\frac{2 x + 2}{3 - x} \leq 0

Factor

\frac{2 x + 2}{3 - x} : \frac{2 ( x + 1 )}{3 - x}

\frac{2 ( x + 1 )}{3 - x} \leq 0

Divide both sides by

2

\frac{\frac{2 ( x + 1 )}{3 - x}}{2} \leq \frac{0}{2}

Simplify

\frac{x + 1}{3 - x} \leq 0

Identify the intervals

x \leq - 1 or x > 3

Popular Examples

simplify log^2_{7}(1/49)simplify

lo g_{7}^{2} (\frac{1}{49})

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

3 b (9 b - 27) = 0

x^2+28x+83=9x-7

x^{2} + 28 x + 83 = 9 x - 7

simplify (3+i)/(2-i)+1/(1+i)simplify

\frac{3 + i}{2 - i} + \frac{1}{1 + i}

Frequently Asked Questions (FAQ)

What is 8/(3-x)<= 2 ?
The solution to 8/(3-x)<= 2 is x<=-1\lor x>3