Maths-

General

Easy

Question

# Use the Law of Detachment to make a valid conclusion in the true situation.

If a number is odd, then its square is odd.

Hint:

### Law of Detachment states that if p q is true and it is given that p is true then we can conclude

that q is also true. Here, the statement is termed as Hypothesis and the statement q is termed as conclusion.

## The correct answer is: Hence, we can conclude that the square of the 7 is odd

### Consider the statement into two separate statements

p: The number is odd

q: The square of the number is odd

So we can write the given statement “If two angles have the same measure, then they are congruent” as:

We are given

x = 7 is odd

which means the number is odd so we can say that the p statement is true and hence we can conclude that the q statement is also true i.e. the square of 7 is odd.

Final Answer:

Hence, we can conclude that the square of the 7 is odd

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