Solve for t 3t-12<=-9

$3 t - 12 \leq - 9$

Step 1

Move all terms not containing $t$ to the right side of the inequality.

Add $12$ to both sides of the inequality.

$3 t \leq - 9 + 12$

Add $- 9$ and $12$ .

$3 t \leq 3$

Step 2

Divide each term in $3 t \leq 3$ by $3$ and simplify.

Divide each term in $3 t \leq 3$ by $3$ .

$\frac{3 t}{3} \leq \frac{3}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 t}{3} \leq \frac{3}{3}$

Divide $t$ by $1$ .

$t \leq \frac{3}{3}$

Simplify the right side.

Divide $3$ by $3$ .

$t \leq 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$t \leq 1$

Interval Notation:

$(- \infty, 1]$