Solve the Inequality for b 2.50+5b<=21

$2.5 + 5 b \leq 21$

Step 1

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

Subtract $2.5$ from both sides of the inequality.

$5 b \leq 21 - 2.5$

Subtract $2.5$ from $21$ .

$5 b \leq 18.5$

Step 2

Divide each term in $5 b \leq 18.5$ by $5$ and simplify.

Divide each term in $5 b \leq 18.5$ by $5$ .

$\frac{5 b}{5} \leq \frac{18.5}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 b}{5} \leq \frac{18.5}{5}$

Divide $b$ by $1$ .

$b \leq \frac{18.5}{5}$

Simplify the right side.

Divide $18.5$ by $5$ .

$b \leq 3.7$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$b \leq 3.7$

Interval Notation:

$(- \infty, 3.7]$