Solve the Inequality for t 3.5+4t<=39.5

$3.5 + 4 t \leq 39.5$

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

Subtract $3.5$ from both sides of the inequality.

$4 t \leq 39.5 - 3.5$

Subtract $3.5$ from $39.5$ .

$4 t \leq 36$

Divide each term in $4 t \leq 36$ by $4$ and simplify.

Divide each term in $4 t \leq 36$ by $4$ .

$\frac{4 t}{4} \leq \frac{36}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 t}{4} \leq \frac{36}{4}$

Divide $t$ by $1$ .

$t \leq \frac{36}{4}$

Simplify the right side.

Divide $36$ by $4$ .

$t \leq 9$

The result can be shown in multiple forms.

Inequality Form:

$t \leq 9$

Interval Notation:

$(- \infty, 9]$