Solve the Inequality for b 12b-15>21

$12 b - 15 > 21$

Step 1

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

Add $15$ to both sides of the inequality.

$12 b > 21 + 15$

Add $21$ and $15$ .

$12 b > 36$

Step 2

Divide each term in $12 b > 36$ by $12$ and simplify.

Divide each term in $12 b > 36$ by $12$ .

$\frac{12 b}{12} > \frac{36}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 b}{12} > \frac{36}{12}$

Divide $b$ by $1$ .

$b > \frac{36}{12}$

Simplify the right side.

Divide $36$ by $12$ .

$b > 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$b > 3$

Interval Notation:

$(3, \infty)$