Solve the Inequality for t -5-t/6>=-9

$- 5 - \frac{t}{6} \geq - 9$

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

Add $5$ to both sides of the inequality.

$- \frac{t}{6} \geq - 9 + 5$

Add $- 9$ and $5$ .

$- \frac{t}{6} \geq - 4$

Divide each term in $- \frac{t}{6} \geq - 4$ by $- 1$ and simplify.

Divide each term in $- \frac{t}{6} \geq - 4$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{t}{6}}{- 1} \leq \frac{- 4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{t}{6}}{1} \leq \frac{- 4}{- 1}$

Divide $\frac{t}{6}$ by $1$ .

$\frac{t}{6} \leq \frac{- 4}{- 1}$

Simplify the right side.

Divide $- 4$ by $- 1$ .

$\frac{t}{6} \leq 4$

Multiply both sides by $6$ .

$\frac{t}{6} \cdot 6 \leq 4 \cdot 6$

Simplify.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{t}{6} \cdot 6 \leq 4 \cdot 6$

Rewrite the expression.

$t \leq 4 \cdot 6$

Simplify the right side.

Multiply $4$ by $6$ .

$t \leq 24$

The result can be shown in multiple forms.

Inequality Form:

$t \leq 24$

Interval Notation:

$(- \infty, 24]$

Solve the Inequality for t -5-t/6>=-9

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