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Popular >

|(3x-2x)/(1+x)|<= 1

Solution

\frac{3 x - 2 x}{1 + x} \leq 1

Solution

x \geq - \frac{1}{2}

+2

Interval Notation

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

Decimal Notation

x \geq - 0.5

Solution steps

\frac{3 x - 2 x}{1 + x} \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq \frac{3 x - 2 x}{1 + x} \leq 1

\frac{3 x - 2 x}{1 + x} \geq - 1 and \frac{3 x - 2 x}{1 + x} \leq 1

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

Merge Overlapping Intervals

x \geq - \frac{1}{2}

Popular Examples

-4v<=-24\lor 2v-3<-15

- 4 v \leq - 24 or 2 v - 3 < - 15

simplify sqrt(255)simplify

255

factor 6n^2-30n+42 factor

6 n^{2} - 30 n + 42

5 x^{2} + 45 = 0

factor x^2-16x+39 factor

x^{2} - 16 x + 39

Frequently Asked Questions (FAQ)

What is |(3x-2x)/(1+x)|<= 1 ?
The solution to |(3x-2x)/(1+x)|<= 1 is x>=-1/2