Question

Solve the following inequality for t. Write your answer in the simplest form.6t + 3 < 7t + 10

Answer 1

`\begin{gathered} \text{Given} \\ 6t+3<7t+10 \end{gathered}`

`\begin{gathered} \text{Subtract both sides by }10 \\ 6t+3<7t+10 \\ 6t+3-10<7t+10-10 \\ 6t-7<7t\cancel{+10-10} \\ 6t-7<7t \\ \\ \text{Then subtract both sides by }6t \\ 6t-7<7t \\ 6t-6t-7<7t-6t \\ \cancel{6t-6t}-7-7 \end{gathered}`

Therefore, the solution is t > -7.