Solve the Inequality for t -25+t/2>=50

$- 25 + \frac{t}{2} \geq 50$

Step 1

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

Add $25$ to both sides of the inequality.

$\frac{t}{2} \geq 50 + 25$

Add $50$ and $25$ .

$\frac{t}{2} \geq 75$

Step 2

Multiply both sides by $2$ .

$\frac{t}{2} \cdot 2 \geq 75 \cdot 2$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{t}{2} \cdot 2 \geq 75 \cdot 2$

Rewrite the expression.

$t \geq 75 \cdot 2$

Simplify the right side.

Multiply $75$ by $2$ .

$t \geq 150$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$t \geq 150$

Interval Notation:

$[150, \infty)$