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Write the component statements of the fo...

Write the component statements of the following compound statements and check whether the compound statement is true or false:
(i) the perimeter of a right-angled triangle and an equilateral triangle is equal to the sum of three sides.
(ii) 72 is a multiple of 18 and 24.
(iii) 0 is smaller than every positive integer and every negative integer.
(iv) a line is straight and extends indefinitely in both directions.

Text Solution

AI Generated Solution

To solve the given question, we will break down each compound statement into its component statements and then determine whether each compound statement is true or false. ### Solution: **(i)** The statement is: "The perimeter of a right-angled triangle and an equilateral triangle is equal to the sum of three sides." 1. **Component Statements:** - Let \( P \): The perimeter of a right-angled triangle is equal to the sum of its three sides. ...
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