How do you solve 6 + t - 8 >= -7?

Jun 29, 2017

Answer:

See a solution process below:

Explanation:

First, group and combine like terms on the left side of the inequality:

$6 + t - 8 \ge - 7$

$t + 6 - 8 \ge - 7$

$t + \left(6 - 8\right) \ge - 7$

$t + \left(- 2\right) \ge - 7$

$t - 2 \ge - 7$

Now, add $\textcolor{red}{2}$ to each side of the inequality to solve for $t$ while keeping the inequality balanced:

$t - 2 + \textcolor{red}{2} \ge - 7 + \textcolor{red}{2}$

$t - 0 \ge - 5$

$t \ge - 5$