Algebra Examples

$\frac{1}{2} y \leq - 3$

Step 1

Multiply each term in $\frac{1}{2} y \leq - 3$ by $2$ .

$\frac{1}{2} y \cdot 2 \leq - 3 \cdot 2$

Step 2

Simplify the left side.

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Step 2.1

Combine $\frac{1}{2}$ and $y$ .

$\frac{y}{2} \cdot 2 \leq - 3 \cdot 2$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Cancel the common factor.

$\frac{y}{2} \cdot 2 \leq - 3 \cdot 2$

Step 2.2.2

Rewrite the expression.

$y \leq - 3 \cdot 2$

Step 3

Simplify the right side.

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Step 3.1

Multiply $- 3$ by $2$ .

$y \leq - 6$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y \leq - 6$

Interval Notation:

$(- \infty, - 6]$