Remember that a conditional statement (p→q) is an if-then in which the first part, p, is the hypothesis and the second part, q, is the conclusion.
1. Here the set m∠A=40° is a subset of the set Acute Angles, so m∠A=40° is the hypothesis and Acute Angles is the conclusion.
In other words:
m∠A=40°→∠A is an Acute Angle
if m∠A=40°, then ∠A is an Acute Angle
We can conclude that the conditional statement that describes the Venn diagram is: if m∠A=40°, then ∠A is an Acute Angle
2. Just like before, the set [tex]2x=4[/tex] is a subset of the set [tex]x=2[/tex]; therefore, [tex]2x=4[/tex] is the hypothesis and [tex]x=2[/tex] is the conclusion.
In other words:
[tex]2x=4[/tex]→[tex]x=2[/tex]
if [tex]2x=4[/tex], then [tex]x=2[/tex]
We can conclude that the conditional statement that describes the Venn diagram is: if [tex]2x=4[/tex], then [tex]x=2[/tex]
