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Popular >

|((x-6))/((x+7))|<1

Solution

\frac{( x - 6 )}{( x + 7 )} < 1

Solution

x > - \frac{1}{2}

+2

Interval Notation

(- \frac{1}{2}, \infty)

Decimal Notation

x > - 0.5

Solution steps

\frac{x - 6}{x + 7} < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < \frac{x - 6}{x + 7} < 1

\frac{x - 6}{x + 7} > - 1 and \frac{x - 6}{x + 7} < 1

(x < - 7 or x > - \frac{1}{2}) and x > - 7

Merge Overlapping Intervals

x > - \frac{1}{2}

Popular Examples

simplify-3sqrt(12)+3sqrt(3)+3sqrt(20)simplify

- 312 + 33 + 320

simplify (2pi)/(7/2)simplify

\frac{2 π}{\frac{7}{2}}

x - \frac{4}{5} = 7

simplify (32xy^2)/(64xy)simplify

\frac{32 x y ^{2}}{64 x y}

factor 4c^4-20c^2d^3+25d^6 factor

4 c^{4} - 20 c^{2} d^{3} + 25 d^{6}

Frequently Asked Questions (FAQ)

What is |((x-6))/((x+7))|<1 ?
The solution to |((x-6))/((x+7))|<1 is x>-1/2