Question

Let \(c\) be any real number and \(1 < c\), then:

• A. \(c^2 < c\)
• B. \(c^2 < 1\)
• C. \(c < c^2\)
• D. \(c^{-1} > 1\)

Hint:

For any real number \(c\):
- If \(c > 1\), then powers of \(c\) grow: \(c < c^2 < c^3 < \dots\)
- If \(0 < c < 1\), then powers of \(c\) shrink: \(c > c^2 > c^3 > \dots\)

Answer 1

The Correct Option is C