Question

Choose the negation of the following statement: If it rains this week, then Anthony will mow the lawn.

A. It rained this week and Anthony mowed the lawn.
B. If it rains this week, then Anthony didn't mow the lawn.
C. It rained this week and Anthony didn't mow the lawn.
D. If it doesn't rain this week, then Anthony won't mow the lawn.

Answer 1

The negation of the statement 'If it rains this week, then Anthony will mow the lawn' is option B. If it rains this week, then Anthony didn't mow the lawn.

Step-by-step explanation:

The negation of the statement 'If it rains this week, then Anthony will mow the lawn' is option B. If it rains this week, then Anthony didn't mow the lawn.

To find the negation of a conditional statement, we need to negate both the antecedent (if part) and the consequent (then part). In this case, the negation of 'it rains this week' is 'it does not rain this week' and the negation of 'Anthony will mow the lawn' is 'Anthony did not mow the lawn'.

Therefore, the negation of the statement is 'If it rains this week, then Anthony didn't mow the lawn'.