How do you solve t/3-6> -4?

Apr 26, 2017

See the solution process below:

Explanation:

Step 1) Add $\textcolor{red}{6}$ to each side of the inequality to isolate the $t$ term while keeping the inequality balanced:

$\frac{t}{3} - 6 + \textcolor{red}{6} > - 4 + \textcolor{red}{6}$

$\frac{t}{3} - 0 > 2$

$\frac{t}{3} > 2$

Step 2) Multiply each side of the inequality by $\textcolor{red}{3}$ to solve for $t$ while keeping the inequality balanced:

$\textcolor{red}{3} \times \frac{t}{3} > \textcolor{red}{3} \times 2$

$\cancel{\textcolor{red}{3}} \times \frac{t}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} > 6$

$t > 6$