If the Celsius temperature of Object X is C and the equivalent Fahrenh

Given: F = \(\frac{9}{5}\)C + 32

Statement 1

(1) F > 120

F = \(\frac{9}{5}\)C + 32

\(\frac{9}{5}\)C + 32 > 120

\(\frac{9}{5}\)C > 88

C > \(\frac{88*9}{5}\)

Had the numerator been 90, the inequality would have been C > \(\frac{90*9}{5}\). In that case, C would have been greater than 50.

However, in this case, \( C > 49.XX\)

This statement alone is not sufficient to conclude whether C > 50. If C = 49.99, the answer to the question "Is the Celsius temperature of Object X greater than 50" is No. However, if C = 100, the answer to the question "Is the Celsius temperature of Object X greater than 50" is Yes.

As we are obtaining two contradicting answers to the question, we can eliminate A and D.

Statement 2

(2) F - C > 72

F = \(\frac{9}{5}\)C + 32

Multiplying by 5 on both sides of the equation we get

5F = 9C + 160 --- (1)

Statement 2 -

F - C > 72

Multiplying by 5 on both sides of the inequality we get

5F - 5C > 360

From (1)

9C + 160 - 5C > 360

4C > 200

C > 50

Hence, the Celsius temperature of Object X is greater than 50.

This statement is sufficient to answer the question, "Is the Celsius temperature of Object X greater than 50 ? ".

Option B