Solve the Inequality for t -36<=3t

$- 36 \leq 3 t$

Step 1

Rewrite so $t$ is on the left side of the inequality.

$3 t \geq - 36$

Step 2

Divide each term in $3 t \geq - 36$ by $3$ and simplify.

Divide each term in $3 t \geq - 36$ by $3$ .

$\frac{3 t}{3} \geq \frac{- 36}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 t}{3} \geq \frac{- 36}{3}$

Divide $t$ by $1$ .

$t \geq \frac{- 36}{3}$

Simplify the right side.

Divide $- 36$ by $3$ .

$t \geq - 12$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$t \geq - 12$

Interval Notation:

$[- 12, \infty)$