Finite Math Examples

$4 x - 8 < 0$

Step 1

Add $8$ to both sides of the inequality.

$4 x < 8$

Step 2

Divide each term in $4 x < 8$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 x < 8$ by $4$ .

$\frac{4 x}{4} < \frac{8}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 x}{4} < \frac{8}{4}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{8}{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $8$ by $4$ .

$x < 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 2$

Interval Notation:

$(- \infty, 2)$