Question

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

Answer 1

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

Answer 2

$4(c + 2) \ \textless \ 4c + 10$ 

$4c+8\ \textless \ 4c+10$ 

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

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