If x is an odd integer, which of the following is true?

Question: If x is an odd integer, which of the following is true?

Solution:
let, x = 1
putting x to each option we get,
5x - 2 = (5 × 1) - 2 = 3; here 3 is an odd integer. so, option 1 is not true.
5x² + 2 = (5 × 1) + 2 = 7; here 7 is an odd integer. so, option 2 is true.
5x² + 3 = (5 × 1) + 3 = 8; here 8 is an even integer. so, option 3 is not true.

so only option 2 is true.