Hello! Can a math professional let me know if my work is correct for question one. Thank you!

Use the TF Direct Method to prove the following arguments valid or invalid. Circle thecorrect answer. If invalid, provide a counterexample chart.1) Direct2) Direct with EquivalenceTa -> ( b A = c ) T~q vw TFove TText TT. TW(a)Valid or Invalid(b) Valid or Invalid(a) Counterexample chart(b) Counterexample chartabc erc d q w3) Conditional4) Indirect(pa) ->m TF ab TFT~ mvc ~ d)l TF_a -> (d ~ c)ITTp TF -. Ta => ~cb(c) Valid or Invalid(d) Valid or Invalid(c) Counterexample chart(d) Counterexample charta c d m pabed