Solve for x 3x<=-5/4

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

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

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

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

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

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

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

Multiply $3$ by $4$ .

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

The result can be shown in multiple forms.

Inequality Form:

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

Interval Notation:

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