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

'A line is straight and extends indefinitely in both directions.'

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Solution

The component statements of the given statement are

p : A line is straight.

q : A line extends indefinitely in both directions.

We observed that both p and q are true. Therefore, the compound statement is true.

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Write the component statements of the compound statement and check whether the compound statement is true or false. 'A line is straight and extends indefinitely in both directions.'

The component statements of the given statement are p : A line is straight. q : A line extends indefinitely in both directions. We observed that both p and q are true. Therefore, the compound statement is true.

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

'A line is straight and extends indefinitely in both directions.'

The component statements of the given statement are

p : A line is straight.

q : A line extends indefinitely in both directions.

We observed that both p and q are true. Therefore, the compound statement is true.