Solve for t 3<2t-1<15

$3 < 2 t - 1 < 15$

Step 1

Move all terms not containing $t$ from the center section of the inequality.

Add $1$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$3 + 1 < 2 t < 15 + 1$

Add $3$ and $1$ .

$4 < 2 t < 15 + 1$

Add $15$ and $1$ .

$4 < 2 t < 16$

Step 2

Divide each term in the inequality by $2$ .

$\frac{4}{2} < \frac{2 t}{2} < \frac{16}{2}$

Step 3

Divide $4$ by $2$ .

$2 < \frac{2 t}{2} < \frac{16}{2}$

Step 4

Cancel the common factor of $2$ .

Cancel the common factor.

$2 < \frac{2 t}{2} < \frac{16}{2}$

Divide $t$ by $1$ .

$2 < t < \frac{16}{2}$

Step 5

Divide $16$ by $2$ .

$2 < t < 8$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$2 < t < 8$

Interval Notation:

$(2, 8)$

Step 7