Algebra Examples

$- 4 x \leq 12$

Step 1

Divide each term in $- 4 x \leq 12$ by $- 4$ and simplify.

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Step 1.1

Divide each term in $- 4 x \leq 12$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} \geq \frac{12}{- 4}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 4$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 4 x}{- 4} \geq \frac{12}{- 4}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x \geq \frac{12}{- 4}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $12$ by $- 4$ .

$x \geq - 3$

Step 2

Use the inequality $x \geq - 3$ to build the set notation.

${x | x \geq - 3}$

Step 3