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Popular >

3x-1<= 7/2 x<12x+2

Solution

3 x - 1 \leq \frac{7}{2} x < 12 x + 2

Solution

x > - \frac{4}{17}

+2

Interval Notation

(- \frac{4}{17}, \infty)

Decimal Notation

x > - 0.23529 \dots

Solution steps

3 x - 1 \leq \frac{7}{2} x < 12 x + 2

If

a \leq u < b

then

a \leq u and u < b

3 x - 1 \leq \frac{7}{2} x and \frac{7}{2} x < 12 x + 2

3 x - 1 \leq \frac{7}{2} x : x \geq - 2

\frac{7}{2} x < 12 x + 2 : x > - \frac{4}{17}

Combine the intervals

x \geq - 2 and x > - \frac{4}{17}

Merge Overlapping Intervals

x > - \frac{4}{17}

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Frequently Asked Questions (FAQ)

What is 3x-1<= 7/2 x<12x+2 ?
The solution to 3x-1<= 7/2 x<12x+2 is x>-4/17