Write the component statements of the following compound statement and check whether the compound statement is true of false.

'A rectangle is a quadrilateral or a 5-sided polygon'.

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Solution

The component statements are

p = A rectangle is a quadrilateral

q = A rectangle is a 5-sided polygon

We observe that, p is true and q is false.

Therefore, the compound statement is true.

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Write the component statements of the following compound statement and check whether the compound statement is true of false. 'A rectangle is a quadrilateral or a 5-sided polygon'.

The component statements are p = A rectangle is a quadrilateral q = A rectangle is a 5-sided polygon We observe that, p is true and q is false. Therefore, the compound statement is true.

Write the component statements of the following compound statement and check whether the compound statement is true of false.

'A rectangle is a quadrilateral or a 5-sided polygon'.

The component statements are

p = A rectangle is a quadrilateral

q = A rectangle is a 5-sided polygon

We observe that, p is true and q is false.

Therefore, the compound statement is true.