Question

If t represents an odd integer,which of the following expressions also represents an odd integer?

A t-3
B 2t-1
C 2t-2
D 3t +1

Answer 1

The expression 2t - 1 represents an odd integer when t is odd.

Step-by-step explanation:

To determine which of the given expressions represents an odd integer when t represents an odd integer, we can substitute odd values for t and check if the resulting expression is odd.

Let's substitute t = 1 into each expression:
A) 1 - 3 = -2 (even)
B) 2(1) - 1 = 1 (odd)
C) 2(1) - 2 = 0 (even)
D) 3(1) + 1 = 4 (even)

Based on this, the only expression that represents an odd integer is 2t - 1 (Option B).