Pre-Algebra Examples

$- 4 y > \frac{1}{11}$

Step 1

Divide each term in $- 4 y > \frac{1}{11}$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 y}{- 4} < \frac{\frac{1}{11}}{- 4}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 4$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} < \frac{\frac{1}{11}}{- 4}$

Step 2.1.2

Divide $y$ by $1$ .

$y < \frac{\frac{1}{11}}{- 4}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$y < \frac{1}{11} \cdot \frac{1}{- 4}$

Step 3.2

Move the negative in front of the fraction.

$y < \frac{1}{11} (- \frac{1}{4})$

Step 3.3

Multiply $\frac{1}{11} (- \frac{1}{4})$ .

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Step 3.3.1

Multiply $\frac{1}{11}$ by $\frac{1}{4}$ .

$y < - \frac{1}{11 \cdot 4}$

Step 3.3.2

Multiply $11$ by $4$ .

$y < - \frac{1}{44}$

Step 4