Solve the Inequality for t -8t<=-36

$- 8 t \leq - 36$

Divide each term in $- 8 t \leq - 36$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 t}{- 8} \geq \frac{- 36}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 t}{- 8} \geq \frac{- 36}{- 8}$

Divide $t$ by $1$ .

$t \geq \frac{- 36}{- 8}$

Simplify the right side.

Cancel the common factor of $- 36$ and $- 8$ .

Factor $- 4$ out of $- 36$ .

$t \geq \frac{- 4 (9)}{- 8}$

Cancel the common factors.

Factor $- 4$ out of $- 8$ .

$t \geq \frac{- 4 \cdot 9}{- 4 \cdot 2}$

Cancel the common factor.

$t \geq \frac{- 4 \cdot 9}{- 4 \cdot 2}$

Rewrite the expression.

$t \geq \frac{9}{2}$

The result can be shown in multiple forms.

Inequality Form:

$t \geq \frac{9}{2}$

Interval Notation:

$[\frac{9}{2}, \infty)$

Solve the Inequality for t -8t<=-36

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