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Popular >

10<= 2x<= x+7

Solution

10 \leq 2 x \leq x + 7

Solution

5 \leq x \leq 7

+1

Interval Notation

[5, 7]

Solution steps

10 \leq 2 x \leq x + 7

If

a \leq u \leq b

then

a \leq u and u \leq b

10 \leq 2 x and 2 x \leq x + 7

10 \leq 2 x : x \geq 5

2 x \leq x + 7 : x \leq 7

Combine the intervals

x \geq 5 and x \leq 7

Merge Overlapping Intervals

5 \leq x \leq 7

Popular Examples

∣ 4 x - 7 ∣ \geq 3

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Frequently Asked Questions (FAQ)

What is 10<= 2x<= x+7 ?
The solution to 10<= 2x<= x+7 is 5<= x<= 7