Algebra Examples

$15 x < - 45$

Step 1

Divide each term in $15 x < - 45$ by $15$ and simplify.

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Step 1.1

Divide each term in $15 x < - 45$ by $15$ .

$\frac{15 x}{15} < \frac{- 45}{15}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $15$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{15 x}{15} < \frac{- 45}{15}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x < \frac{- 45}{15}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 45$ by $15$ .

$x < - 3$

Step 2

Use the inequality $x < - 3$ to build the set notation.

${x | x < - 3}$

Step 3