A) The contrapositive of\[3x+2=8\Rightarrow x=2\]is\[x\ne 2\]\[\Rightarrow \]\[3x+2\ne 8.\]
B) The converse of \[=0\Rightarrow x=0\] is \[x\ne 0\Rightarrow \tan x=0.\]
C) \[p\Rightarrow q\] is equivalent to\[p\vee \tilde{\ }q.\]
D) \[p\vee q\]and\[p\wedge q\] have the same truth table.
Correct Answer: A
Solution :
Only statement given in option is true. The converse of\[\tan x=0\Rightarrow x=0\]is \[x=0\Rightarrow \tan x=0\] \[\therefore \]Statement (b) is false \[\tilde{\ }\left( p\Rightarrow q \right)\] is equivalent to \[p\wedge \tilde{\ }q\] \[\therefore \]Statement given in option (c) is false. No, \[p\vee q\] and \[p\wedge q\]does not have the same truth value.
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