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Popular >

3x-1>= x-2>=-5

Solution

3 x - 1 \geq x - 2 \geq - 5

Solution

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

+2

Interval Notation

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

Decimal Notation

x \geq - 0.5

Solution steps

3 x - 1 \geq x - 2 \geq - 5

If

a \geq u \geq b

then

a \geq u and u \geq b

3 x - 1 \geq x - 2 and x - 2 \geq - 5

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

x - 2 \geq - 5 : x \geq - 3

Combine the intervals

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

Merge Overlapping Intervals

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

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1/6 x^2+1/2 x+1/3 =0

\frac{1}{6} x^{2} + \frac{1}{2} x + \frac{1}{3} = 0

Frequently Asked Questions (FAQ)

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