Question

Solve 4(c + 2) < 4c + 10.

Answer 1

`4(c + 2) \ \textless \ 4c + 10`


`4c+8\ \textless \ 4c+10`


`8\ \textless \ 10`
`\text{Cancel 4c on both sides}`


`\text{Since}`
`8\ \textless \ 10`
`\text{is always true, there are infinitely many solutions}`

Answer 2

4(c + 2)< 4c + 10
4c + 8 < 4c + 10
4c - 4c < 10 - 8
0 < 2...no variables
this inequality has no solution