Algebra Examples

$4 h - 13 < - 5$

Step 1

Move all terms not containing $h$ to the right side of the inequality.

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Step 1.1

Add $13$ to both sides of the inequality.

$4 h < - 5 + 13$

Step 1.2

Add $- 5$ and $13$ .

$4 h < 8$

Step 2

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

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Step 2.1

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

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

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.

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

Step 2.2.1.2

Divide $h$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $8$ by $4$ .

$h < 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$h < 2$

Interval Notation:

$(- \infty, 2)$