Question

If I mow my neighbor's lawn, then I will earn $5.

Which of the following is a logically equivalent statement to the conditional statement above?

If I do not mow my neighbor's lawn, then I will not earn $5.
If I mow my neighbor's lawn, then I will not earn $5.
If I did not earn $5, then I did not mow my neighbor's lawn.
If I earned $5, then I mowed my neighbor's lawn

Answer 1

only one of them is correct ?

Answer 2

yes

Answer 3

If a person lives in Seattle, then that person lives in Washington State.

Identify the hypothesis and conclusion of the given conditional statement.

Hypothesis: a person lives in Washington State. Conclusion: a person lives in Seattle.
Hypothesis: a person lives in Seattle. Conclusion: a person lives in Washington State.
Hypothesis: a person lives in Seattle and Washington State. Conclusion: a person lives in Washington State.
hypothesis: a person does not live in Seattle. Conclusion: a person does not live in Washington Sta

Answer 4

If a person lives in Seattle, then that person lives in Washington State.

Identify the hypothesis and conclusion of the given conditional statement.

Hypothesis: a person lives in Washington State. Conclusion: a person lives in Seattle.
Hypothesis: a person lives in Seattle. Conclusion: a person lives in Washington State.
Hypothesis: a person lives in Seattle and Washington State. Conclusion: a person lives in Washington State.
hypothesis: a person does not live in Seattle. Conclusion: a person does not live in Washington Sta

Answer 5

can someone help me with this

Answer 6

original statement:
mow -> $5

1) No mow -> No $5
2) mow -> No $5 (wrong!)
3) No $5 -> No mow
4) $5 -> mow

The following equivalence exists:
p→q≡﹁q→﹁p

this would be 1)

Answer 7

but like 3 of then are correct

Answer 8

sorry, actually it would be 3) because q and p change position...