Questions: Write the converse, inverse, and contrapositive of the statement in sentence form. If the ball is green, then I do not play with it. The converse of the given statement is which of the following? A. If the ball is not green, then I play with it. B. If I play with it, then the ball is not green. C. If I do not play with it, then the ball is green. D. If I do not play with it, then the ball is not green.

Write the converse, inverse, and contrapositive of the statement in sentence form. If the ball is green, then I do not play with it. The converse of the given statement is which of the following? A. If the ball is not green, then I play with it. B. If I play with it, then the ball is not green. C. If I do not play with it, then the ball is green. D. If I do not play with it, then the ball is not green.
Transcript text: Write the converse, inverse, and contrapositive of the statement in sentence form. If the ball is green, then I do not play with it. The converse of the given statement is which of the following? A. If the ball is not green, then I play with it. B. If I play with it, then the ball is not green. C. If I do not play with it, then the ball is green. D. If I do not play with it, then the ball is not green.
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Solution

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Solution Steps

Step 1: Converse

The converse of the statement 'If the ball is green, then I do not play with it' is obtained by swapping the antecedent and the consequent. Thus, the converse is: 'If I do not play with it, then the ball is green.'

Step 2: Inverse

The inverse of the statement 'If the ball is green, then I do not play with it' is obtained by negating both the antecedent and the consequent. Thus, the inverse is: 'If not the ball is green, then not I do not play with it.'

Step 3: Contrapositive

The contrapositive of the statement 'If the ball is green, then I do not play with it' is obtained by negating both the antecedent and the consequent and then swapping their places. Thus, the contrapositive is: 'If not I do not play with it, then not the ball is green.'

Final Answer:

Converse: If I do not play with it, then the ball is green. Inverse: If not the ball is green, then not I do not play with it. Contrapositive: If not I do not play with it, then not the ball is green.

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