Pre-Algebra Examples

$- \frac{t}{3} < - 5$

Step 1

Divide each term in $- \frac{t}{3} < - 5$ by $- 1$ and simplify.

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Step 1.1

Divide each term in $- \frac{t}{3} < - 5$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{t}{3}}{- 1} > \frac{- 5}{- 1}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Dividing two negative values results in a positive value.

$\frac{\frac{t}{3}}{1} > \frac{- 5}{- 1}$

Step 1.2.2

Divide $\frac{t}{3}$ by $1$ .

$\frac{t}{3} > \frac{- 5}{- 1}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 5$ by $- 1$ .

$\frac{t}{3} > 5$

Step 2

Multiply both sides by $3$ .

$\frac{t}{3} \cdot 3 > 5 \cdot 3$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{t}{3} \cdot 3 > 5 \cdot 3$

Step 3.1.1.2

Rewrite the expression.

$t > 5 \cdot 3$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $5$ by $3$ .

$t > 15$

Step 4