Solve the Inequality for b -4+b/6<10

$- 4 + \frac{b}{6} < 10$

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

Add $4$ to both sides of the inequality.

$\frac{b}{6} < 10 + 4$

Add $10$ and $4$ .

$\frac{b}{6} < 14$

Multiply both sides by $6$ .

$\frac{b}{6} \cdot 6 < 14 \cdot 6$

Simplify.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{b}{6} \cdot 6 < 14 \cdot 6$

Rewrite the expression.

$b < 14 \cdot 6$

Simplify the right side.

Multiply $14$ by $6$ .

$b < 84$

The result can be shown in multiple forms.

Inequality Form:

$b < 84$

Interval Notation:

$(- \infty, 84)$