Finite Math Examples

$6 x - y < 6$

Step 1

Add $y$ to both sides of the inequality.

$6 x < 6 + y$

Step 2

Divide each term in $6 x < 6 + y$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 x < 6 + y$ by $6$ .

$\frac{6 x}{6} < \frac{6}{6} + \frac{y}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} < \frac{6}{6} + \frac{y}{6}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{6}{6} + \frac{y}{6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $6$ by $6$ .

$x < 1 + \frac{y}{6}$

Step 3

Convert the inequality to interval notation.

$(- \infty, 1 + \frac{y}{6})$

Step 4