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Popular >

-1<= ((x-2))/((x+7))<= 1

Solution

- 1 \leq \frac{( x - 2 )}{( x + 7 )} \leq 1

Solution

x \geq - \frac{5}{2}

+2

Interval Notation

[- \frac{5}{2}, \infty)

Decimal Notation

x \geq - 2.5

Solution steps

- 1 \leq \frac{( x - 2 )}{( x + 7 )} \leq 1

If

a \leq u \leq b

then

a \leq u and u \leq b

- 1 \leq \frac{( x - 2 )}{( x + 7 )} and \frac{( x - 2 )}{( x + 7 )} \leq 1

- 1 \leq \frac{x - 2}{x + 7} : x < - 7 or x \geq - \frac{5}{2}

\frac{x - 2}{x + 7} \leq 1 : x > - 7

Combine the intervals

(x < - 7 or x \geq - \frac{5}{2}) and x > - 7

Merge Overlapping Intervals

x \geq - \frac{5}{2}

Popular Examples

(-25)/6 < 1/2-2 x/3 <2

\frac{- 25}{6} < \frac{1}{2} - 2 \frac{x}{3} < 2

(-1)/2 <| x/((x^2-x-1))|<2

\frac{- 1}{2} < \frac{x}{( x ^{2} - x - 1 )} < 2

-1<((x+2))/((x-1))<= 1

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

x + 1 < 3 x - 5 < 4 x - 7

-12<4-3 x/(-5)<= 2

- 12 < 4 - 3 \frac{x}{- 5} \leq 2

Frequently Asked Questions (FAQ)

What is -1<= ((x-2))/((x+7))<= 1 ?
The solution to -1<= ((x-2))/((x+7))<= 1 is x>=-5/2