Algebra Examples

$- 11 f < - 55$

Step 1

Divide each term in $- 11 f < - 55$ by $- 11$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 11 f}{- 11} > \frac{- 55}{- 11}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 11$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 11 f}{- 11} > \frac{- 55}{- 11}$

Step 2.1.2

Divide $f$ by $1$ .

$f > \frac{- 55}{- 11}$

Step 3

Simplify the right side.

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Step 3.1

Divide $- 55$ by $- 11$ .

$f > 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$f > 5$

Interval Notation:

$(5, \infty)$