Algebra Examples

$- 2 y \leq 4 x + 2$

Step 1

Divide each term in $- 2 y \leq 4 x + 2$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 y}{- 2} \geq \frac{4 x}{- 2} + \frac{2}{- 2}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 2$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} \geq \frac{4 x}{- 2} + \frac{2}{- 2}$

Step 2.1.2

Divide $y$ by $1$ .

$y \geq \frac{4 x}{- 2} + \frac{2}{- 2}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Cancel the common factor of $4$ and $- 2$ .

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Step 3.1.1.1

Factor $2$ out of $4 x$ .

$y \geq \frac{2 (2 x)}{- 2} + \frac{2}{- 2}$

Step 3.1.1.2

Move the negative one from the denominator of $\frac{2 x}{- 1}$ .

$y \geq - 1 \cdot (2 x) + \frac{2}{- 2}$

Step 3.1.2

Rewrite $- 1 \cdot (2 x)$ as $- (2 x)$ .

$y \geq - (2 x) + \frac{2}{- 2}$

Step 3.1.3

Multiply $2$ by $- 1$ .

$y \geq - 2 x + \frac{2}{- 2}$

Step 3.1.4

Divide $2$ by $- 2$ .

$y \geq - 2 x - 1$