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If x is an integer such that 3x + 5 is even, what can be said about x?
If x is an integer such that 3x + 5 is even, what can be said about x?
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Practice Questions
1 question
Q1
If x is an integer such that 3x + 5 is even, what can be said about x?
x is even
x is odd
x can be any integer
x is a prime number
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For 3x + 5 to be even, x must be odd.
Questions & Step-by-step Solutions
1 item
Q
Q: If x is an integer such that 3x + 5 is even, what can be said about x?
Solution:
For 3x + 5 to be even, x must be odd.
Steps: 8
Show Steps
Step 1: Understand that an even number is any integer that can be divided by 2 without a remainder.
Step 2: Recognize that 3x + 5 is the expression we are analyzing.
Step 3: Note that 5 is an odd number.
Step 4: Remember that an odd number plus an even number results in an odd number, and an odd number plus an odd number results in an even number.
Step 5: Since we want 3x + 5 to be even, we need to determine what x must be.
Step 6: If x is even, then 3x (which is even) plus 5 (which is odd) would be odd. This does not satisfy our condition.
Step 7: If x is odd, then 3x (which is odd) plus 5 (which is odd) would be even. This satisfies our condition.
Step 8: Therefore, for 3x + 5 to be even, x must be odd.
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