How do you solve the two step inequality –3 > –3t + 6?

Mar 20, 2018

$t > 3$

Explanation:

$- 3 > - 3 t + 6$

$\implies 3 t > 6 + 3$

$\implies 3 t > 9$

$\implies t > 3$

Mar 20, 2018

t > 3#

Explanation:

Solve:

$- 3 > - 3 t + 6$

Multiply both sides by $- 1$. This will reverse the inequality.

$3 < 3 t - 6$

Add $6$ to both sides.

$3 + 6 < 3 t - 6 + 6$

Simplify.

$9 < 3 t - 0$

$9 < 3 t$

Divide both sides by $3$.

$\frac{9}{3} < \frac{{\cancel{3}}^{1} t}{{\cancel{3}}^{1}}$

$\frac{9}{3} < t$

Simplify.

$3 < t$

Switch sides.

$t > 3$