Graph t/-4+6<=8

$\frac{t}{- 4} + 6 \leq 8$

Step 1

Move the negative in front of the fraction.

$- \frac{t}{4} + 6 \leq 8$

Step 2

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

Subtract $6$ from both sides of the inequality.

$- \frac{t}{4} \leq 8 - 6$

Subtract $6$ from $8$ .

$- \frac{t}{4} \leq 2$

Step 3

Divide each term in $- \frac{t}{4} \leq 2$ by $- 1$ and simplify.

Divide each term in $- \frac{t}{4} \leq 2$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{t}{4}}{- 1} \geq \frac{2}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{t}{4}}{1} \geq \frac{2}{- 1}$

Divide $\frac{t}{4}$ by $1$ .

$\frac{t}{4} \geq \frac{2}{- 1}$

Simplify the right side.

Divide $2$ by $- 1$ .

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

Step 4

Multiply both sides by $4$ .

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

Step 5

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

$t \geq - 2 \cdot 4$

Simplify the right side.

Multiply $- 2$ by $4$ .

$t \geq - 8$

Step 6

Graph t/-4+6<=8

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