We can divide this up a bit.
2x+13<6x+1
AND
6x+1<4x+11
First, solve 2x+13<6x+1.
2x+13<6x+1
Subtract 1 from each side...
2x+12<6x
Subtract 2x from each side...
12<6x
Divide by 6 on each side...
2<x
There you go! Now, let's do 6x+1<4x+11.
6x+1<4x+11
Subtract 1 from each side...
6x<4x+10
Subtract 4x from each side...
2x<10
Divide by 2 on each side...
x<5
Okay! Now we know that 2<x and x<5.
In conclusion, 2<x<5.
We can divide this up a bit.
2x+13<6x+1
AND
6x+1<4x+11
First, solve 2x+13<6x+1.
2x+13<6x+1
Subtract 1 from each side...
2x+12<6x
Subtract 2x from each side...
12<6x
Divide by 6 on each side...
2<x
There you go! Now, let's do 6x+1<4x+11.
6x+1<4x+11
Subtract 1 from each side...
6x<4x+10
Subtract 4x from each side...
2x<10
Divide by 2 on each side...
x<5
Okay! Now we know that 2<x and x<5.
In conclusion, 2<x<5.