Question

The inequality log₂(x) < sin^–1 (sin(5)) holds if x Î

• A. (0, 2^5–2p)
• B. (2^5–2p, ¥)
• C. (2^2p–5, ¥)
• D. (0, 2^2p–5)

Answer 1

Answer: (A)

(0, 2^5–2p)

Answer 2

Graph of sin^–1 sin(x) = f(x)

f(x) = sin^–1 (sinx) = x – 2p 3p/2 £ x £ 5p/2

f(5) = sin^–1 (sin 5) = 5 – 2p

log₂(x) < 5 – 2p

x > 0

x < 2^5–2p

So, (0, 2^5–2p)