$($c $-3$pts$)$ Exercise $1$

$\mathrm{.}4\mathrm{.}5.$ Define the following propositions: j: Sally got the job. I: Sally was

late for her interview $r$ : Sally updated her resume. Express the following pair of sentences

using a logical expression. Then prove whether the two expressions are logically equivalent.

If Sally did not get the job, then she was late for interview or did not update her

resume. If Sally updated her resume and did not get the job, then she was late for her

interview.

$(r^{{?}^{?}}j)1$

I need you to prove or disprove logical equivalence of the work I have so far by using and naming each law that you use