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Popular >

5x-2<10x+8<2x+16

Solution

5 x - 2 < 10 x + 8 < 2 x + 16

Solution

- 2 < x < 1

+1

Interval Notation

(- 2, 1)

Solution steps

5 x - 2 < 10 x + 8 < 2 x + 16

If

a < u < b

then

a < u and u < b

5 x - 2 < 10 x + 8 and 10 x + 8 < 2 x + 16

5 x - 2 < 10 x + 8 : x > - 2

10 x + 8 < 2 x + 16 : x < 1

Combine the intervals

x > - 2 and x < 1

Merge Overlapping Intervals

- 2 < x < 1

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Frequently Asked Questions (FAQ)

What is 5x-2<10x+8<2x+16 ?
The solution to 5x-2<10x+8<2x+16 is -2<x<1