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The Statement that is TRUE among the following is
Options:
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The correct answer is:
The contrapositive of $3 x+2=8 \Rightarrow x=2$ is $x \neq 2$ $\Rightarrow 3 x+2 \neq 8$.
The contrapositive of $3 x+2=8 \Rightarrow x=2$ is $x \neq 2$ $\Rightarrow 3 x+2 \neq 8$.
Only statement given in option
(a) is true.
(b) The converse of $\tan \mathrm{x}=0 \Rightarrow x=0$ is $x=0 \Rightarrow \tan x=0$
$\therefore$ Statement (b) is false
(c) $\sim(p \Rightarrow q$ is dquivalent to $p \wedge \sim q$
$\therefore$ Statement given in option (c) is false.
(d) No, $p \vee q$ and $p \wedge q$ does not have the same truth value.
(a) is true.
(b) The converse of $\tan \mathrm{x}=0 \Rightarrow x=0$ is $x=0 \Rightarrow \tan x=0$
$\therefore$ Statement (b) is false
(c) $\sim(p \Rightarrow q$ is dquivalent to $p \wedge \sim q$
$\therefore$ Statement given in option (c) is false.
(d) No, $p \vee q$ and $p \wedge q$ does not have the same truth value.
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