Algebra Examples

$- 2 x < 10$

Step 1

Divide each term in $- 2 x < 10$ by $- 2$ and simplify.

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Step 1.1

Divide each term in $- 2 x < 10$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} > \frac{10}{- 2}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} > \frac{10}{- 2}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x > \frac{10}{- 2}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $10$ by $- 2$ .

$x > - 5$

Step 2

Use the inequality $x > - 5$ to build the set notation.

${x | x > - 5}$

Step 3