Algebra Examples

$\frac{1}{8} y - 1 < - 5$

Step 1

Combine $\frac{1}{8}$ and $y$ .

$\frac{y}{8} - 1 < - 5$

Step 2

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

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Step 2.1

Add $1$ to both sides of the inequality.

$\frac{y}{8} < - 5 + 1$

Step 2.2

Add $- 5$ and $1$ .

$\frac{y}{8} < - 4$

$\frac{y}{8} < - 4$

Step 3

Multiply both sides by $8$ .

$\frac{y}{8} \cdot 8 < - 4 \cdot 8$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $8$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{y}{8} \cdot 8 < - 4 \cdot 8$

Step 4.1.1.2

Rewrite the expression.

$y < - 4 \cdot 8$

$y < - 4 \cdot 8$

$y < - 4 \cdot 8$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $- 4$ by $8$ .

$y < - 32$

$y < - 32$

$y < - 32$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$y < - 32$

Interval Notation:

$(- \infty, - 32)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$