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Popular >

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

Solution

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

Solution

x < - 4

+1

Interval Notation

(- \infty, - 4)

Solution steps

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

If

a < u < b

then

a < u and u < b

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

7 x + 2 < 2 x + 3 : x < \frac{1}{5}

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

Combine the intervals

x < \frac{1}{5} and x < - 4

Merge Overlapping Intervals

x < - 4

Popular Examples

13 < 3 x + 10 < 16

1<|((x+1))/((x+2))|<3

1 < \frac{( x + 1 )}{( x + 2 )} < 3

-1<= ((x-2))/((x+7))<= 1

- 1 \leq \frac{( x - 2 )}{( x + 7 )} \leq 1

(-25)/6 < 1/2-2 x/3 <2

\frac{- 25}{6} < \frac{1}{2} - 2 \frac{x}{3} < 2

(-1)/2 <| x/((x^2-x-1))|<2

\frac{- 1}{2} < \frac{x}{( x ^{2} - x - 1 )} < 2

Frequently Asked Questions (FAQ)

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