Precalculus Examples

$a b < 3$ , $b c < 6$ , $c d < 5$ , $d a < 4$

Step 1

Divide each term in $a b < 3$ by $b$ and simplify.

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Step 1.1

Divide each term in $a b < 3$ by $b$ .

$\frac{a b}{b} < \frac{3}{b}$ or $b c < 6$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $b$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{a b}{b} < \frac{3}{b}$ or $b c < 6$

Step 1.2.1.2

Divide $a$ by $1$ .

$a < \frac{3}{b}$ or $b c < 6$

Step 2

Divide each term in $b c < 6$ by $c$ and simplify.

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Step 2.1

Divide each term in $b c < 6$ by $c$ .

$a < \frac{3}{b}$ or $\frac{b c}{c} < \frac{6}{c}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $c$ .

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Step 2.2.1.1

Cancel the common factor.

$a < \frac{3}{b}$ or $\frac{b c}{c} < \frac{6}{c}$

Step 2.2.1.2

Divide $b$ by $1$ .

$a < \frac{3}{b}$ or $b < \frac{6}{c}$

Step 3