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Popular >

13<5x-8<23

Solution

13 < 5 x - 8 < 23

Solution

\frac{21}{5} < x < \frac{31}{5}

+2

Interval Notation

(\frac{21}{5}, \frac{31}{5})

Decimal Notation

4.2 < x < 6.2

Solution steps

13 < 5 x - 8 < 23

If

a < u < b

then

a < u and u < b

13 < 5 x - 8 and 5 x - 8 < 23

13 < 5 x - 8 : x > \frac{21}{5}

5 x - 8 < 23 : x < \frac{31}{5}

Combine the intervals

x > \frac{21}{5} and x < \frac{31}{5}

Merge Overlapping Intervals

\frac{21}{5} < x < \frac{31}{5}

Popular Examples

(-1)/5 <= ((2x))/5+1< 1/5

\frac{- 1}{5} \leq \frac{( 2 x )}{5} + 1 < \frac{1}{5}

- 24 < 3 x - 6 \leq - 3

19<= 0.3x+2.5<= 25

19 \leq 0.3 x + 2.5 \leq 25

((sqrt(n+1)))/h < 1/((sqrt(n-1)))<1

\frac{( n + 1 )}{h} < \frac{1}{( n - 1 )} < 1

1<= (((x+1)(x-1)))/((x+3))<= 5

1 \leq \frac{( ( x + 1 ) ( x - 1 ) )}{( x + 3 )} \leq 5

Frequently Asked Questions (FAQ)

What is 13<5x-8<23 ?
The solution to 13<5x-8<23 is 21/5 <x< 31/5