Answer:
1 <x <2
Step-by-step explanation:
4x + 1 < 8x - 3 < 4x + 5
Split into two inequalities
4x + 1 < 8x - 3 and 8x - 3 < 4x + 5
Do the first one first
4x + 1 < 8x - 3
Subtract 4x from each side
4x -4x + 1 < 8x-4x - 3
1 < 4x-3
Add 3 to each side
1+3 < 4x-3+3
4 < 4x
Divide by 4
4/4 <4x/4
1 <x
Now the other
8x - 3 < 4x + 5
Subtract 4x from each side
8x -4x-3 < 4x+5-4x
4x-3 < 5
Add 3 to each side
4x-3+3 < 5+3
4x<8
Divide by 4
4x/4 <8/4
x <2
Put them back together
1 <x <2
