Finite Math Examples

$- x > 7$

Step 1

Divide each term in $- x > 7$ by $- 1$ and simplify.

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Step 1.1

Divide each term in $- x > 7$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} < \frac{7}{- 1}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} < \frac{7}{- 1}$

Step 1.2.2

Divide $x$ by $1$ .

$x < \frac{7}{- 1}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $7$ by $- 1$ .

$x < - 7$

Step 2

Convert the inequality to interval notation.

$(- \infty, - 7)$

Step 3