Question -
Answer -
(i) Thecomponents of the compound statement are:
P: To get into a public library children need an identity card.
Q: To get into a public library children need a letter from theschool authorities.
Both P and Q are true.
Hence, the compound statement is true.
(ii) Thecomponents of the compound statement are:
P: All rational number is real.
Q: All real numbers are not complex.
P is true and Q is false then P and Q both are False.
Hence, the compound statement is False
(iii) Thecomponents of the compound statement are:
P: Square of an integer is positive.
Q: Square of an integer is negative.
Both P and Q are true.
Hence, the compound statement is True.
(iv) Thecomponents of the compound statement are:
P: x=2 is a root of the equation 3x2 – x – 10 =0
Q: x = 3 is a root of the equation 3x2 – x – 10= 0
P is true, but Q is false then P and Q both are False.
Hence, the compound statement is False.
(v) Thecomponents of the compound statement are:
P: The sand heats up quickly in the sun.
Q: The sand does not cool down fast at night.
P is false and Q is also false then P and Q both are False.
Hence, the compound statement is False.