If x is less than 10, and y is less than 5, it follows that:
A) x is greater than y
B) x = 2y
C) x - y = 5
D) x + y is less than 15
Try them all. D wins.
Answer:
D) x + y is less than 15
x = 1-9
y = 1-4
any number from each category of x and y that add up have sums that are all lower than 15
here is the reason why:
x < 10
y < 5
we can add them just like equations as long as the inequality sign
goes the same way
so let's add them:
x + y < 15
To answer this question, we need to analyze the given conditions:
x is less than 10, and y is less than 5.
A) x is greater than y:
We cannot determine this based on the given conditions. For example, x could be 1 and y could be 2, which means x is not greater than y.
B) x = 2y:
We cannot determine this either based on the given conditions. For example, x could be 3 and y could be 1.5, which means x is not equal to 2y.
C) x - y = 5:
We cannot determine this based on the given conditions. For example, x could be 10 and y could be 4, which means x - y is not equal to 5.
D) x + y is less than 15:
This statement is true based on the given conditions. Since x is less than 10 and y is less than 5, then x + y will definitely be less than 15.
Therefore, the correct answer is D) x + y is less than 15.