Algebra Examples

$- 1 + \frac{y}{8} < 15$

Step 1

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

Tap for more steps...

Step 1.1

Add $1$ to both sides of the inequality.

$\frac{y}{8} < 15 + 1$

Step 1.2

Add $15$ and $1$ .

$\frac{y}{8} < 16$

Step 2

Multiply both sides by $8$ .

$\frac{y}{8} \cdot 8 < 16 \cdot 8$

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 $8$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor.

$\frac{y}{8} \cdot 8 < 16 \cdot 8$

Step 3.1.1.2

Rewrite the expression.

$y < 16 \cdot 8$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Multiply $16$ by $8$ .

$y < 128$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y < 128$

Interval Notation:

$(- \infty, 128)$