Algebra Examples

$\frac{b}{9} - 34 < - 36$

Step 1

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

Tap for more steps...

Step 1.1

Add $34$ to both sides of the inequality.

$\frac{b}{9} < - 36 + 34$

Step 1.2

Add $- 36$ and $34$ .

$\frac{b}{9} < - 2$

Step 2

Multiply both sides by $9$ .

$\frac{b}{9} \cdot 9 < - 2 \cdot 9$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Cancel the common factor of $9$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor.

$\frac{b}{9} \cdot 9 < - 2 \cdot 9$

Step 3.1.1.2

Rewrite the expression.

$b < - 2 \cdot 9$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Multiply $- 2$ by $9$ .

$b < - 18$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$b < - 18$

Interval Notation:

$(- \infty, - 18)$