Yes, that is true. If x < y, then x + b < y + b, where b is any constant value.
The inequality x < y states that x is less than y. Adding the same constant value b to both sides of the inequality preserves the inequality, meaning that the order of the values remains unchanged. The inequality x + b < y + b states that x + b is still less than y + b, meaning that the original relationship between x and y is still maintained.
So, if x < y, then x + b < y + b holds true for any value of b.
Answers & Comments
Answer:
B. Always True
Step-by-step explanation:
Yes, that is true. If x < y, then x + b < y + b, where b is any constant value.
The inequality x < y states that x is less than y. Adding the same constant value b to both sides of the inequality preserves the inequality, meaning that the order of the values remains unchanged. The inequality x + b < y + b states that x + b is still less than y + b, meaning that the original relationship between x and y is still maintained.
So, if x < y, then x + b < y + b holds true for any value of b.