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.
x equals 7 text  is odd  end text

hintHint:

Law of Detachment states that if p not stretchy rightwards arrow  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:
    p not stretchy rightwards arrow q
    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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