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Popular >

x+3/4 <= 2x-5/4 <= 5/2 x+1

Solution

x + \frac{3}{4} \leq 2 x - \frac{5}{4} \leq \frac{5}{2} x + 1

Solution

x \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

x + \frac{3}{4} \leq 2 x - \frac{5}{4} \leq \frac{5}{2} x + 1

If

a \leq u \leq b

then

a \leq u and u \leq b

x + \frac{3}{4} \leq 2 x - \frac{5}{4} and 2 x - \frac{5}{4} \leq \frac{5}{2} x + 1

x + \frac{3}{4} \leq 2 x - \frac{5}{4} : x \geq 2

2 x - \frac{5}{4} \leq \frac{5}{2} x + 1 : x \geq - \frac{9}{2}

Combine the intervals

x \geq 2 and x \geq - \frac{9}{2}

Merge Overlapping Intervals

x \geq 2

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Frequently Asked Questions (FAQ)

What is x+3/4 <= 2x-5/4 <= 5/2 x+1 ?
The solution to x+3/4 <= 2x-5/4 <= 5/2 x+1 is x>= 2