Finite Math Examples

$30 x < 90$

Step 1

Divide each term in $30 x < 90$ by $30$ and simplify.

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Step 1.1

Divide each term in $30 x < 90$ by $30$ .

$\frac{30 x}{30} < \frac{90}{30}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $30$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{30 x}{30} < \frac{90}{30}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x < \frac{90}{30}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $90$ by $30$ .

$x < 3$

Step 2

Convert the inequality to interval notation.

$(- \infty, 3)$

Step 3