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Popular >

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

Solution

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

Solution

- 2 < x < 4

+1

Interval Notation

(- 2, 4)

Solution steps

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

If

a < u < b

then

a < u and u < b

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

2 x - 3 < x + 1 : x < 4

x + 1 < 4 x + 7 : x > - 2

Combine the intervals

x < 4 and x > - 2

Merge Overlapping Intervals

- 2 < x < 4

Popular Examples

2 x - 8 < x < x + 4

-3+x<8 x/3+2<(14)/(3+2x)

- 3 + x < 8 \frac{x}{3} + 2 < \frac{14}{3 + 2 x}

1/4+5/12+((-1))/(13)<x< 17/5+2/10+1/2

\frac{1}{4} + \frac{5}{12} + \frac{( - 1 )}{13} < x < \frac{17}{5} + \frac{2}{10} + \frac{1}{2}

0 < \frac{6}{x} < \frac{6}{7}

(-12)/(17)<x<(-8)/(17)

\frac{- 12}{17} < x < \frac{- 8}{17}

Frequently Asked Questions (FAQ)

What is 2x-3<x+1<4x+7 ?
The solution to 2x-3<x+1<4x+7 is -2<x<4