Pre-Algebra Examples

9 - x > 10

$9 - x > 10$

Step 1

Move all terms not containing

$x$ to the right side of the inequality.

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Step 1.1

Subtract

$9$ from both sides of the inequality.

$- x > 10 - 9$

Step 1.2

Subtract

$9$ from

$10$ .

$- x > 1$

Step 2

Divide each term in

$- x > 1$ by

$- 1$ and simplify.

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Step 2.1

Divide each term in

$- x > 1$ by

$- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} < \frac{1}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} < \frac{1}{- 1}$

Step 2.2.2

Divide

$x$ by

$1$ .

$x < \frac{1}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide

$1$ by

$- 1$ .

$x < - 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 1$

Interval Notation:

$(- \infty, - 1)$

$9 - x > 10$

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