The following statements are true of a certain community.
S: Most businessmen are rich.
T: No salary worker is rich.
(i)
Draw a Venn diagram to illustrate the information.
(ii)
State whether the following statements are Valid or Not Valid.
(α)
Ali is a businessman and therefore rich.
(β)
Ahmed is not rich because he is a salary worker.
Consider the following statements:
X: All policemen wear uniform;
Y: Civil servants do not wear uniform.
If P = {policemen}, T = {people who wear uniform} and C = {civil servants},
(i)
draw a Venn diagram to illustrate X and Y;
(ii)
use the venn diagram to determine which of the following implications are valid or not valid conclusions from X and Y;
(α)
Adu wears uniform ⇒ Adu is a policeman;
(β)
Ofei is a policeman ⇒ Ofei is not a Civil Servant