Question

If 3/11 < x/3 < 7/11, which of the following values can 'x' take?

• A. 1
• B. 0.5
• C. 2
• D. 3

Answer 1

Answer:

A. 1

1. Multiply all parts of the inequality by 3:

   • (3/11) 3 < (x/3) 3 < (7/11) * 3

   • 9/11 < x < 21/11

2. Convert the fractions to decimals (approximately) to make it easier to visualize:

   • 9/11 ≈ 0.818

   • 21/11 ≈ 1.909

   • So, 0.818 < x < 1.909

3. Consider possible integer values of x:

   • The possible integer values of 'x' that fall within this range are 1.

4. Consider possible fractional values of x

   • There are an infinite amount of fractional values that will also fall within this range.

Therefore, the integer value x can take is 1.