Respuesta :
Step-by-step explanation:
Consider the provided information.
If Fury is the director of SHIELD then Hill and Coulson are SHIELD agents"
For the condition statement [tex]p \rightarrow q[/tex] or equivalent "If p then q"
- The rule for Converse is: Interchange the two statements. [tex]q \rightarrow p[/tex]
- The rule for Inverse is: Negative both statements. [tex]\sim p \rightarrow \sim q[/tex]
- The rule for Contrapositive is: Negative both statements and interchange them. [tex]\sim q \rightarrow \sim p[/tex]
- The rule for Negation is: If p then q" the negation will be: p and not q. [tex]p \rightarrow q=\sim p\vee q=p\vee \sim q[/tex]
Part (A) Write the contrapositive.
Here p is Fury is the director of SHIELD, and q is Hill and Coulson are SHIELD agents.
Contrapositive: If Hill and Coulson are not SHIELD agents, then Fury is not the director of SHIELD.
Part (b) Write the converse.
Here p is Fury is the director of SHIELD, and q is Hill and Coulson are SHIELD agents.
Converse: If Hill and Coulson are SHIELD agents, then Fury is the director of SHIELD.
Part (c) Write the inverse.
Here p is Fury is the director of SHIELD, and q is Hill and Coulson are SHIELD agents.
Inverse: If Fury is not the director of SHIELD then Hill and Coulson are not SHIELD agents
Part (D) Write the negation.
Here p is Fury is the director of SHIELD, and q is Hill and Coulson are SHIELD agents.
Negation: Fury is the director of SHIELD and Hill and Coulson are not SHIELD agents"
Step-by-step explanation:
Consider the provided information.
If Fury is the director of SHIELD then Hill and Coulson are SHIELD agents." For the condition statement or equivalent "If p then q"
The rule for Converse is: Interchange the two statements.
The rule for Inverse is: Negative both statements.
The rule for Contrapositive is: Negative both statements and interchange them.
The rule for Negation is: If p then q" the negation will be: p and not q.
- Part (A) Write the contrapositive.
.Here p is Fury is the director of SHIELD, and q is Hill and Coulson are SHIELD agents.
Contrapositive: If Hill and Coulson are not SHIELD agents, then Fury is not the director of SHIELD.
- Part (b) Write the converse.
.Here p is Fury is the director of SHIELD, and q is Hill and Coulson are SHIELD agents.
.Converse: If Hill and Coulson are SHIELD agents, then Fury is the director of SHIELD.
- Part (c) Write the inverse.
.Here p is Fury is the director of SHIELD, and q is Hill and Coulson are SHIELD agents.
.Inverse: If Fury is not the director of SHIELD then Hill and Coulson are not SHIELD agents
- Part (D) Write the negation.
.Here p is Fury is the director of SHIELD, and q is Hill and Coulson are SHIELD agents.
.Negation: Fury is the director of SHIELD and Hill and Coulson are not SHIELD agents"
