Question

1. $(p land q) lor

eg p$

$p$	$t$	$t$	$f$	$f$
$q$	$t$	$f$	$t$	$f$

| $
eg p$ | $f$ | $f$ | $t$ | $t$ |

$p land q$

$t$

$f$

$f$

$f$

| $(p land q) lor
eg p$ | $t$ | $f$ | $t$ | $t$ |

Explanation:

Step1: Verify $

eg p$ values
$
eg p$ is opposite of $p$:

• Row1: $p=T \implies

eg p=F$

• Row2: $p=T \implies

eg p=F$

• Row3: $p=F \implies

eg p=T$

• Row4: $p=F \implies

eg p=T$

Step2: Verify $p\land q$ values

$p\land q=T$ only if $p=T$ and $q=T$:

• Row1: $p=T,q=T \implies p\land q=T$
• Row2: $p=T,q=F \implies p\land q=F$
• Row3: $p=F,q=T \implies p\land q=F$
• Row4: $p=F,q=F \implies p\land q=F$

Step3: Calculate $(p\land q)\lor

eg p$
$(p\land q)\lor
eg p=T$ if either term is $T$:

• Row1: $T\lor F=T$
• Row2: $F\lor F=F$
• Row3: $F\lor T=T$
• Row4: $F\lor T=T$

Answer:

The corrected final column $(p\land q)\lor
eg p$ values (from top to bottom) are: $T$, $F$, $T$, $T$