Algebra Examples

$4 < 1 + \frac{n}{7}$

Step 1

Rewrite so $n$ is on the left side of the inequality.

$1 + \frac{n}{7} > 4$

Step 2

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

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Step 2.1

Subtract $1$ from both sides of the inequality.

$\frac{n}{7} > 4 - 1$

Step 2.2

Subtract $1$ from $4$ .

$\frac{n}{7} > 3$

Step 3

Multiply both sides by $7$ .

$\frac{n}{7} \cdot 7 > 3 \cdot 7$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $7$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{n}{7} \cdot 7 > 3 \cdot 7$

Step 4.1.1.2

Rewrite the expression.

$n > 3 \cdot 7$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $3$ by $7$ .

$n > 21$

Step 5