Calculus Examples

$- \frac{π}{2 (π - 15)} > 1$

Step 1

Simplify $- \frac{3.14159265}{2 ((3.14159265) - 15)}$ .

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Step 1.1

Subtract $15$ from $3.14159265$ .

$- \frac{3.14159265}{2 \cdot - 11.85840734} > 1$

Step 1.2

Multiply $2$ by $- 11.85840734$ .

$- \frac{3.14159265}{- 23.71681469} > 1$

Step 1.3

Divide $3.14159265$ by $- 23.71681469$ .

$- - 0.13246267 > 1$

Step 1.4

Multiply $- 1$ by $- 0.13246267$ .

$0.13246267 > 1$

Step 2

The inequality is never true.

No solution

Step 3

The leading coefficient cannot be determined because $- \frac{π}{2 (π - 15)} - 1$ is not a polynomial.

Not a polynomial

Step 4

Since there are no real x-intercepts and the leading coefficient is positive, the parabola opens up and $- \frac{π}{2 (π - 15)} - 1$ is always greater than $0$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$