Pre-Algebra Examples

$4 x < 15 - x$ , $x + 17 > 2 x + 14$

Step 1

Move all terms containing $x$ to the left side of the inequality.

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Step 1.1

Add $x$ to both sides of the inequality.

$4 x + x < 15$

Step 1.2

Add $4 x$ and $x$ .

$5 x < 15$

Step 2

Divide each term in $5 x < 15$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 x < 15$ by $5$ .

$\frac{5 x}{5} < \frac{15}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} < \frac{15}{5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{15}{5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $15$ by $5$ .

$x < 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 3$

Interval Notation:

$(- \infty, 3)$

Step 4