Express the following statement in "if...then" form. Then write the statement's converse, inverse, contrapositive, and negation. No dirt is sufficient for no cleaning. Write the contrapositive of the statement. Choose the correct answer below. OA. If there is cleaning, then there is no dirt. OB. If there is cleaning, then there is dirt. OC. If there is no cleaning, then there is no dirt. OD. If there is no cleaning, then there is dirt. Write the negation of the statement. Choose the correct answer below. O A. There is dirt or there is no cleaning. OB. If there is no dirt, then there is cleaning. OC. There is no dirt and there is cleaning. D. There is dirt and there is cleaning. O E. There is no dirt or there is no cleaning.

D. Write four related conditional statements (if-then form, converse, inverse, and contrapositivej each of the following statements. If - then form: Converse Inverse Contrapositive 1. Pianists are musicians. 2. A polygon is regular 3. All squares are quadrilaterals. 4. When x=5, x=25 5. The sun rises at 6am.

Let p, q, and r represent the following simple statements. p: I eat bananas. q: I like ice cream. r I like to eat. Write the following compound statement in its symbolic form. If I do not eat bananas then: I do not like ice cream and I do not like to eat. The symbolic form is

Let p and q represent the following simple statements. p: Steve annoys Gabby. q: Gabby annoys Steve. Write the symbolic statement q^p in words. Choose the correct sentence below. O A. Gabby does not annoy Steve or Steve annoys Gabby. O B. Gabby annoys Steve and Steve does not annoy Gabby. O C. Gabby does not annoy Steve and Steve annoys Gabby. OD. If Gabby annoys Steve, then Steve does not annoy Gabby.

Write a negation for the following statement.   Some pins are longer than this pin.   Choose the correct answer below.   A. Some pins are not longer than this pin.   B. Not all pins are longer than this pin.   C. Some pins are longer than this pin.   D. All pins are longer than this pin.   E. No pins are longer than this pin.

Determine if the following statements are logically equivalent, negations or neither: ~p➡q ; ~(p∧q)   Are the statements logically equivalent, negations, or neither? ________________

8. Rewrite the following argument as a conditional statement q

Pls help ASAP

Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If Amanda and Kelsey love soccer, then they will play. Amanda loves soccer and they will not play. Kelsey does not love soccer. iClick the icon to view tables of standard valid and invalid forms of arguments. C Let p be the statement "Amanda loves soccer," q be the statement "Kelsey loves soccer," and r be the statement "they will play." Select the correct answer below and fill in the answer box to complete your choice. (Type the terms of your expression in the same order as they appear in the original expression.) O A. The argument is valid. In symbolic form, the argument is O B. The argument is invalid. In symbolic form, the argument is