Pre-Algebra Examples

$6 y - 10 - y > 14$

Step 1

Subtract $y$ from $6 y$ .

$5 y - 10 > 14$

Step 2

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

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Step 2.1

Add $10$ to both sides of the inequality.

$5 y > 14 + 10$

Step 2.2

Add $14$ and $10$ .

$5 y > 24$

Step 3

Divide each term in $5 y > 24$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 y > 24$ by $5$ .

$\frac{5 y}{5} > \frac{24}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 y}{5} > \frac{24}{5}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y > \frac{24}{5}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y > \frac{24}{5}$

Interval Notation:

$(\frac{24}{5}, \infty)$