Algebra Examples

$- 11 > - \frac{c}{11}$

Step 1

Multiply both sides by $11$ .

$- 11 \cdot 11 > - \frac{c}{11} \cdot 11$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Multiply $- 11$ by $11$ .

$- 121 > - \frac{c}{11} \cdot 11$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $11$ .

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Step 2.2.1.1

Move the leading negative in $- \frac{c}{11}$ into the numerator.

$- 121 > \frac{- c}{11} \cdot 11$

Step 2.2.1.2

Cancel the common factor.

$- 121 > \frac{- c}{11} \cdot 11$

Step 2.2.1.3

Rewrite the expression.

$- 121 > - c$

Step 3

Solve for $c$ .

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Step 3.1

Rewrite so $c$ is on the left side of the inequality.

$- c < - 121$

Step 3.2

Divide each term in $- c < - 121$ by $- 1$ and simplify.

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Step 3.2.1

Divide each term in $- c < - 121$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- c}{- 1} > \frac{- 121}{- 1}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Dividing two negative values results in a positive value.

$\frac{c}{1} > \frac{- 121}{- 1}$

Step 3.2.2.2

Divide $c$ by $1$ .

$c > \frac{- 121}{- 1}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $- 121$ by $- 1$ .

$c > 121$

Step 4