Algebra Examples

$3 x \leq - \frac{5}{4}$

Step 1

Divide each term in $3 x \leq - \frac{5}{4}$ by $3$ .

$\frac{3 x}{3} \leq \frac{- \frac{5}{4}}{3}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Cancel the common factor.

$\frac{3 x}{3} \leq \frac{- \frac{5}{4}}{3}$

Step 2.1.2

Divide $x$ by $1$ .

$x \leq \frac{- \frac{5}{4}}{3}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$x \leq - \frac{5}{4} \cdot \frac{1}{3}$

Step 3.2

Multiply $- \frac{5}{4} \cdot \frac{1}{3}$ .

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Step 3.2.1

Multiply $\frac{1}{3}$ by $\frac{5}{4}$ .

$x \leq - \frac{5}{3 \cdot 4}$

Step 3.2.2

Multiply $3$ by $4$ .

$x \leq - \frac{5}{12}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq - \frac{5}{12}$

Interval Notation:

$(- \infty, - \frac{5}{12}]$