Solve the Inequality for t -3t+9>=-21

$- 3 t + 9 \geq - 21$

Step 1

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

Subtract $9$ from both sides of the inequality.

$- 3 t \geq - 21 - 9$

Subtract $9$ from $- 21$ .

$- 3 t \geq - 30$

Step 2

Divide each term in $- 3 t \geq - 30$ by $- 3$ and simplify.

Divide each term in $- 3 t \geq - 30$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 t}{- 3} \leq \frac{- 30}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 t}{- 3} \leq \frac{- 30}{- 3}$

Divide $t$ by $1$ .

$t \leq \frac{- 30}{- 3}$

Simplify the right side.

Divide $- 30$ by $- 3$ .

$t \leq 10$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$t \leq 10$

Interval Notation:

$(- \infty, 10]$

Solve the Inequality for t -3t+9>=-21

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