Solve for b 18+0.08b>=75

$18 + 0.08 b \geq 75$

Step 1

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

Subtract $18$ from both sides of the inequality.

$0.08 b \geq 75 - 18$

Subtract $18$ from $75$ .

$0.08 b \geq 57$

Step 2

Divide each term in $0.08 b \geq 57$ by $0.08$ and simplify.

Divide each term in $0.08 b \geq 57$ by $0.08$ .

$\frac{0.08 b}{0.08} \geq \frac{57}{0.08}$

Simplify the left side.

Cancel the common factor of $0.08$ .

Cancel the common factor.

$\frac{0.08 b}{0.08} \geq \frac{57}{0.08}$

Divide $b$ by $1$ .

$b \geq \frac{57}{0.08}$

Simplify the right side.

Divide $57$ by $0.08$ .

$b \geq 712.5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$b \geq 712.5$

Interval Notation:

$[712.5, \infty)$