Finite Math Examples

$- x - 11 < 0$

Step 1

Add $11$ to both sides of the inequality.

$- x < 11$

Step 2

Divide each term in $- x < 11$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- x < 11$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} > \frac{11}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} > \frac{11}{- 1}$

Step 2.2.2

Divide $x$ by $1$ .

$x > \frac{11}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $11$ by $- 1$ .

$x > - 11$

Step 3

Convert the inequality to interval notation.

$(- 11, \infty)$

Step 4