PART a All Exercise Sessions Are Healthy Activities, So Some

Essay

PART A All exercise sessions are healthy activities, so some jogging events are healthy activities, since some exercise sessions are not jogging events.
Which of the following correctly expresses the form of this argument? a. $\begin{array} { l } \text { Some \( \mathrm{E} \) are not \( \mathrm{J} \).}\\ \text {Some J are \( \mathrm{H} \). }\\ \hline\text { All \( \mathrm{E} \) are \( \mathrm{H} \).}\\\end{array}$$\quad$ b. $\begin{array} { l } \text {All \( \mathrm{E} \) are \( \mathrm{H} \). }\\ \text {Some E are not J. }\\ \hline\text {Some \( \mathrm{J} \) are \( \mathrm{H} \). }\\\end{array}$$\quad$ c. $\begin{array} { l } \text {All \( E \) are \( \mathrm{H} \). }\\ \text { Some J are H.}\\ \hline\text { Some E are not J.}\\\end{array}$

d. $\begin{array} { l } \text { \( \mathrm{E} \) are \( \mathrm{H} \).}\\ \text { \( \mathrm{E} \) are not \( \mathrm{J} \).}\\ \text {\( \mathrm{J} \) are \( \mathrm{H} \). }\\\end{array}$$\quad$ e. $\begin{array} { l } \text {Some J are \( H \). }\\ \text { Some E are J.}\\ \text { All E are \( \mathrm{H} \). }\\\end{array}$ PART B
Which of the following substitutions proves the argument invalid?
A) E = dogs, H = mammals, J = fish.
B) E = mammals, H = animals, J = cats.
C) E = fish, H = animals, J = dogs.
D) E = cats, H = mammals, J = animals.
E) E = animals, H = dogs, J = mammals