Question

I need help solving this inequality 4x + 1 < 8x-3<4x+5

Answer 1

First take the left inequality, 4x + 1 < 8x-3 and solve it for x
Then take the right inequality, 8x-3<4x+5and solve it for x
Then combine the solutions for x.

Answer 2

I get the answer 1 <x <2 is that correct?

Answer 3

for the first inequality
4x + 1 < 8x-3

add -4x to both sides
4x - 4x + 1 < 8x -4x -3
simplify both sides
1 < 4x - 3
add +3 to both sides
1+3 < 4x -3 + 3
simplify
4 < 4x
divide both sides by 4
1 < x
so that looks good

Answer 4

8x-3<4x+5
4x -3 < 5
4x < 8
x < 2

that looks good too.

answer is
x>1 and x<2 which can be written as
1 < x < 2

Answer 5

Thanks!