Precalculus Examples

$p (n) > n + 1$

Step 1

Divide each term in $p n > n + 1$ by $n$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in $p n > n + 1$ by $n$ .

$\frac{p n}{n} > \frac{n}{n} + \frac{1}{n}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $n$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{p n}{n} > \frac{n}{n} + \frac{1}{n}$

Step 1.2.1.2

Divide $p$ by $1$ .

$p > \frac{n}{n} + \frac{1}{n}$

$p > \frac{n}{n} + \frac{1}{n}$

$p > \frac{n}{n} + \frac{1}{n}$

Step 1.3

Simplify the right side.

Tap for more steps...

Step 1.3.1

Cancel the common factor of $n$ .

Tap for more steps...

Step 1.3.1.1

Cancel the common factor.

$p > \frac{n}{n} + \frac{1}{n}$

Step 1.3.1.2

Rewrite the expression.

$p > 1 + \frac{1}{n}$

$p > 1 + \frac{1}{n}$

$p > 1 + \frac{1}{n}$

$p > 1 + \frac{1}{n}$

Step 2

Convert the inequality to interval notation.

$(1 + \frac{1}{n}, \infty)$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$