Instructions-Assuming the statement given in each question to be true ...
True
Because m is even ie divisible by 2. n is divisible by 3
So, their product is divisible by 2 x 3 ie 6.
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Instructions-Assuming the statement given in each question to be true ...
Statement: m is an even integer and n is a multiple of 3.
Inference: m x n is divisible by 6
Explanation:
To determine the validity of the given inference, let's analyze the statement and break it down step by step.
1. m is an even integer: This means that m can be expressed as 2k, where k is any integer. In other words, m is divisible by 2.
2. n is a multiple of 3: This means that n can be expressed as 3j, where j is any integer. In other words, n is divisible by 3.
Now, let's consider the product of m and n, which is m x n.
m x n = (2k) x (3j) [Substituting the values of m and n]
= 6kj
Since 6 is a multiple of both 2 and 3, it follows that any number multiplied by 6 will also be divisible by both 2 and 3.
Therefore, the product m x n is divisible by 6.
In conclusion, the given inference, "m x n is divisible by 6", is true based on the information provided in the statement. Hence, the correct answer is option 'A' - True.