Solve the Inequality for t 15+3/2t<=21

$15 + \frac{3}{2} t \leq 21$

Combine $\frac{3}{2}$ and $t$ .

$15 + \frac{3 t}{2} \leq 21$

Move all terms not containing $t$ to the right side of the inequality.

Subtract $15$ from both sides of the inequality.

$\frac{3 t}{2} \leq 21 - 15$

Subtract $15$ from $21$ .

$\frac{3 t}{2} \leq 6$

Multiply both sides by $2$ .

$\frac{3 t}{2} \cdot 2 \leq 6 \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{3 t}{2} \cdot 2 \leq 6 \cdot 2$

Rewrite the expression.

$3 t \leq 6 \cdot 2$

Simplify the right side.

Multiply $6$ by $2$ .

$3 t \leq 12$

Divide each term in $3 t \leq 12$ by $3$ and simplify.

Divide each term in $3 t \leq 12$ by $3$ .

$\frac{3 t}{3} \leq \frac{12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 t}{3} \leq \frac{12}{3}$

Divide $t$ by $1$ .

$t \leq \frac{12}{3}$

Simplify the right side.

Divide $12$ by $3$ .

$t \leq 4$

The result can be shown in multiple forms.

Inequality Form:

$t \leq 4$

Interval Notation:

$(- \infty, 4]$