Solve for t 8>3+t/4

$8 > 3 + \frac{t}{4}$

Step 1

Rewrite so $t$ is on the left side of the inequality.

$3 + \frac{t}{4} < 8$

Step 2

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

Subtract $3$ from both sides of the inequality.

$\frac{t}{4} < 8 - 3$

Subtract $3$ from $8$ .

$\frac{t}{4} < 5$

Step 3

Multiply both sides by $4$ .

$\frac{t}{4} \cdot 4 < 5 \cdot 4$

Step 4

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{t}{4} \cdot 4 < 5 \cdot 4$

Rewrite the expression.

$t < 5 \cdot 4$

Simplify the right side.

Multiply $5$ by $4$ .

$t < 20$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$t < 20$

Interval Notation:

$(- \infty, 20)$