What is (x+4)/(x-2)+22>= 0 ?

The solution to (x+4)/(x-2)+22>= 0 is x 2

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(x+4)/(x-2)+22>= 0

\frac{x + 4}{x - 2} + 22 \geq 0

x \leq \frac{40}{23} or x > 2

Interval Notation

(- \infty, \frac{40}{23}] \cup (2, \infty)

Decimal Notation

x \leq 1.73913 \dots or x > 2

Solution steps

\frac{x + 4}{x - 2} + 22 \geq 0

Rewrite in standard form

\frac{23 x - 40}{x - 2} \geq 0

Identify the intervals

x \leq \frac{40}{23} or x > 2

\frac{3}{2} \cdot \frac{2}{3} x = 12

∣ 2 x + 6 ∣ = 12

\frac{x ^{2} \times ( x y ) ^{3}}{( 2 x ) ^{4}}

8 = x^{2} - 2 x

- \frac{x}{4} + 2 > 11

What is (x+4)/(x-2)+22>= 0 ?
The solution to (x+4)/(x-2)+22>= 0 is x<= 40/23 \lor x>2