Finite Math Examples

$- 5 x - 2 < - 12$

Step 1

Move all terms not containing $x$ to the right side of the inequality.

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Step 1.1

Add $2$ to both sides of the inequality.

$- 5 x < - 12 + 2$

Step 1.2

Add $- 12$ and $2$ .

$- 5 x < - 10$

Step 2

Divide each term in $- 5 x < - 10$ by $- 5$ and simplify.

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Step 2.1

Divide each term in $- 5 x < - 10$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 x}{- 5} > \frac{- 10}{- 5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} > \frac{- 10}{- 5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x > \frac{- 10}{- 5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 10$ by $- 5$ .

$x > 2$

Step 3

Convert the inequality to interval notation.

$(2, \infty)$

Step 4