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Popular >

2x-3<3x-5<2x+3

Solution

2 x - 3 < 3 x - 5 < 2 x + 3

Solution

2 < x < 8

+1

Interval Notation

(2, 8)

Solution steps

2 x - 3 < 3 x - 5 < 2 x + 3

If

a < u < b

then

a < u and u < b

2 x - 3 < 3 x - 5 and 3 x - 5 < 2 x + 3

2 x - 3 < 3 x - 5 : x > 2

3 x - 5 < 2 x + 3 : x < 8

Combine the intervals

x > 2 and x < 8

Merge Overlapping Intervals

2 < x < 8

Popular Examples

-2<= 1/2-2 x/3 <= 11/6

- 2 \leq \frac{1}{2} - 2 \frac{x}{3} \leq \frac{11}{6}

((-x+3)}{2-2}<= \frac{(3(x+2)))/5 <= x/6

\frac{( - x + 3 )}{2 - 2} \leq \frac{( 3 ( x + 2 ) )}{5} \leq \frac{x}{6}

7<2(x^2)+1<= 19

7 < 2 (x^{2}) + 1 \leq 19

2x-3<x+1<= 4x+7

2 x - 3 < x + 1 \leq 4 x + 7

- 8 < 5 x - 3 < 7

Frequently Asked Questions (FAQ)

What is 2x-3<3x-5<2x+3 ?
The solution to 2x-3<3x-5<2x+3 is 2<x<8