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Popular >

(12)/(x-2)<6

Solution

\frac{12}{x - 2} < 6

Solution

x < 2 or x > 4

+1

Interval Notation

(- \infty, 2) \cup (4, \infty)

Solution steps

\frac{12}{x - 2} < 6

Rewrite in standard form

\frac{- 6 x + 24}{x - 2} < 0

Factor

\frac{- 6 x + 24}{x - 2} : \frac{- 6 ( x - 4 )}{x - 2}

\frac{- 6 ( x - 4 )}{x - 2} < 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - 6 ( x - 4 ) ) ( - 1 )}{x - 2} > 0 \cdot (- 1)

Simplify

\frac{6 ( x - 4 )}{x - 2} > 0

Divide both sides by

6

\frac{\frac{6 ( x - 4 )}{x - 2}}{6} > \frac{0}{6}

Simplify

\frac{x - 4}{x - 2} > 0

Identify the intervals

x < 2 or x > 4

Popular Examples

0.5(x+2)=0.9x+0.2

0.5 (x + 2) = 0.9 x + 0.2

5 ∣ x + 2 ∣ + 8 \leq 53

(2x+3)/6 >= (5x-7)/2

\frac{2 x + 3}{6} \geq \frac{5 x - 7}{2}

ln (250) = 5.521

factor p^4(m-2n)+q(m-2n)factor

p^{4} (m - 2 n) + q (m - 2 n)

Frequently Asked Questions (FAQ)

What is (12)/(x-2)<6 ?
The solution to (12)/(x-2)<6 is x<2\lor x>4