Question

1. if it is raining, then the concert will be held indoors.

if the concert is held indoors, then the fireworks will be canceled.

∴ if it is raining, then the fireworks will be canceled.
3a
j: it is raining.
k: the concert will be held indoors.
l: the fireworks will be canceled.

what is the argument in symbolic form?
a
$j \
ightarrow k$
$k \
ightarrow l$
$\overline{\therefore \sim j \
ightarrow \sim l}$
b
$j \
ightarrow k$
$k \
ightarrow l$
$\overline{\therefore l \
ightarrow j}$
c
$j \
ightarrow k$
$k \wedge l$
$\overline{\therefore j \wedge l}$
d
$j \
ightarrow k$
$k \
ightarrow l$
$\overline{\therefore j \
ightarrow l}$

Explanation:

Step1: Translate first premise

$j \Rightarrow k$

Step2: Translate second premise

$k \Rightarrow l$

Step3: Translate conclusion

$\therefore j \Rightarrow l$

Answer:

D. $\boldsymbol{

$$\begin{align*} j &\Rightarrow k \\ k &\Rightarrow l \\ \hline \therefore j &\Rightarrow l \end{align*}$$

}$