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Popular >

1<= 1-1/2 x<4

Solution

1 \leq 1 - \frac{1}{2} x < 4

Solution

- 6 < x \leq 0

+1

Interval Notation

(- 6, 0]

Solution steps

1 \leq 1 - \frac{1}{2} x < 4

If

a \leq u < b

then

a \leq u and u < b

1 \leq 1 - \frac{1}{2} x and 1 - \frac{1}{2} x < 4

1 \leq 1 - \frac{1}{2} x : x \leq 0

1 - \frac{1}{2} x < 4 : x > - 6

Combine the intervals

x \leq 0 and x > - 6

Merge Overlapping Intervals

- 6 < x \leq 0

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- \frac{2}{27} + \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 1<= 1-1/2 x<4 ?
The solution to 1<= 1-1/2 x<4 is -6<x<= 0