C. let p= The student is intelligent and let q = The student is not an overachiever, (p V q) V ~q D. let p=The student is intelligent and let q = The student is not an overachiever; (p A q) ^ ~q Construct a truth table for the symbolic statement in part (a). PAq (PAq) A -4 T. F F T T. F F c. Use the truth table to indicate ne set of <上

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Refer to the following statement to answer parts (a) through (c) below.
The student is intelligent and an overachiever, and not an overachiever.
O C. let p= The student is intelligent and let q= The student is not an overachiever; (p V q) V ~q
O D. let p= The student is intelligent and let q = The student is not an overachiever; (p A q) A ~q
b. Construct a truth table for the symbolic statement in part (a).
PAg
(PA q) A -9
F
T
F
T.
F
F
c. Use the truth table to indicate one set of conditions that make the compound statement true, or state that no such conditions exist. Choose the correct answer below.
O A. The statement is true for all conditions.
O B. The statement is true when p is true and q is false.
O C. There are no conditions for which the statement is true.
O D. The statement is true when p is true or g is false.
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Transcribed Image Text:Refer to the following statement to answer parts (a) through (c) below. The student is intelligent and an overachiever, and not an overachiever. O C. let p= The student is intelligent and let q= The student is not an overachiever; (p V q) V ~q O D. let p= The student is intelligent and let q = The student is not an overachiever; (p A q) A ~q b. Construct a truth table for the symbolic statement in part (a). PAg (PA q) A -9 F T F T. F F c. Use the truth table to indicate one set of conditions that make the compound statement true, or state that no such conditions exist. Choose the correct answer below. O A. The statement is true for all conditions. O B. The statement is true when p is true and q is false. O C. There are no conditions for which the statement is true. O D. The statement is true when p is true or g is false. O Time F MacBook Air 20 F3 esc FI F2 F4 F5, F6 トI >> FE 2$ & 2 4 5 6. 7 8. ーの # 3
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