Solve the Inequality for b 16+8b>=50

$16 + 8 b \geq 50$

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

Subtract $16$ from both sides of the inequality.

$8 b \geq 50 - 16$

Subtract $16$ from $50$ .

$8 b \geq 34$

Divide each term in $8 b \geq 34$ by $8$ and simplify.

Divide each term in $8 b \geq 34$ by $8$ .

$\frac{8 b}{8} \geq \frac{34}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 b}{8} \geq \frac{34}{8}$

Divide $b$ by $1$ .

$b \geq \frac{34}{8}$

Simplify the right side.

Cancel the common factor of $34$ and $8$ .

Factor $2$ out of $34$ .

$b \geq \frac{2 (17)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$b \geq \frac{2 \cdot 17}{2 \cdot 4}$

Cancel the common factor.

$b \geq \frac{2 \cdot 17}{2 \cdot 4}$

Rewrite the expression.

$b \geq \frac{17}{4}$

The result can be shown in multiple forms.

Inequality Form:

$b \geq \frac{17}{4}$

Interval Notation:

$[\frac{17}{4}, \infty)$