What is the smallest integer value for X that satisfies the inequality 5X > 36?

• A. 7
• B. 8
• C. 9
• D. 10

Answer: (B)

To solve the inequality 5X > 36, the first step is to isolate the variable X. This can be done by dividing both sides of the inequality by 5:

X > 36 / 5

Calculating 36 divided by 5 gives:

X > 7.2

Since the question asks for the smallest integer value of X that satisfies this inequality, we need to find the smallest whole number that is greater than 7.2. The next integer greater than 7.2 is 8. Therefore, the smallest integer value for X that satisfies the inequality 5X > 36 is indeed 8.

This means that if we plug 8 back into the original inequality:

5 * 8 = 40, and since 40 is greater than 36, this value is valid.