1344 - Data Sufficiency

Correct Answer: D

Explanation:

Algebra Inequalities

Note that x^r+s =(x^r)(x^s).

• (1) If 5* < 1, then 5 ^{x + 2} / 25 <1 since
  5^{x + 2} / 25 = 5^x . 5²/ 25 = 5^x : Sufficient
• (2) If* <0, then
  * + 2 < 2 : add 2 to both sides
  5^{x + 2} < 5² because a < b implies 5 ^a < 5 ^b
  5^{x + 2} / 25 < 1: divide both sides by5² = 25: SUFFICIENT.

The correct answer is D; each statement alone is sufficient.