Question

How do you solve the inequality `3/4+3d < 6 3/4`?

Answer 1

`d < 2`

Explanation:

So from `3/4 +3d < 6 + 3/4` we start by taking the LDC

`(3+4*3d)/4<(6*4+3)/4`

Then, we multiply both sides by 4
`4*(3+4*3d)/4<4*(6*4+3)/4 rarr 3+4*3d < 6*4+3`

The 3s cancel each other out
`3 +4*3d < 6*4 + 3 rarr 4*3d < 6*4`

We divide both sides by 4
`(4*3d)/4 < (6*4)/4 rarr 3d < 6`

Finally, divide both sides by 3
`(3d)/3 < 6/3 rarr d < 2`