Answer
$t > \frac{5}{2}$
Work Step by Step
Use distributive property on the right side of the inequality:
$4t - 3 > 2t + 2$
Collect constants on the right side of the inequality by adding $3$ to each side:
$4t > 2t + 5$
Subtract $2t$ from each side to collect variables on the left side of the inequality:
$2t > 5$
Divide each side by $2$ to solve for $t$:
$t > \frac{5}{2}$
Let's check our answer by substituting our value for $t$ into the original inequality to see if our inequality holds true:
$4(\frac{5}{2}) - 3 > 2(\frac{5}{2} + 1)$
Multiply:
$\frac{20}{2} - 3 > \frac{10}{2} + 1$
Simplify the fractions:
$10 - 3 > 5 + 1$
Add or subtract:
$7 > 6$
