Algebra Examples

$4 + \frac{n}{3} < 6$

Step 1

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

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Step 1.1

Subtract $4$ from both sides of the inequality.

$\frac{n}{3} < 6 - 4$

Step 1.2

Subtract $4$ from $6$ .

$\frac{n}{3} < 2$

Step 2

Multiply both sides by $3$ .

$\frac{n}{3} \cdot 3 < 2 \cdot 3$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{n}{3} \cdot 3 < 2 \cdot 3$

Step 3.1.1.2

Rewrite the expression.

$n < 2 \cdot 3$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $2$ by $3$ .

$n < 6$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n < 6$

Interval Notation:

$(- \infty, 6)$