Solve the Inequality for b 18<-3b

$18 < - 3 b$

Step 1

Rewrite so $b$ is on the left side of the inequality.

$- 3 b > 18$

Step 2

Divide each term in $- 3 b > 18$ by $- 3$ and simplify.

Divide each term in $- 3 b > 18$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 b}{- 3} < \frac{18}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 b}{- 3} < \frac{18}{- 3}$

Divide $b$ by $1$ .

$b < \frac{18}{- 3}$

Simplify the right side.

Divide $18$ by $- 3$ .

$b < - 6$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$b < - 6$

Interval Notation:

$(- \infty, - 6)$

Solve the Inequality for b 18<-3b

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