The Venn diagram shows all integers are rational, but not vice versa. Therefore, "If a is a rational number, then a is an integer" is true.
The Venn diagram shows that all integers are rational numbers, but not all rational numbers are integers. This means that the converse of the statement is not true. In other words, if a number is an integer, then it is also a rational number, but if a number is rational, it does not necessarily mean that it is also an integer.
For example, the number 1/2 is a rational number, but it is not an integer. On the other hand, the number 2 is an integer, and it is also a rational number.
Therefore, the conditional statement "If a is a rational number, then a is an integer" is true.
A conditional statement is a logical statement that consists of two parts: a hypothesis and a conclusion. The hypothesis is the part of the statement that comes before the word "then", and the conclusion is the part of the statement that comes after the word "then".
A conditional statement is true if the hypothesis is true and the conclusion is true. It is false if the hypothesis is true and the conclusion is false, or if the hypothesis is false and the conclusion is true.
In the Venn diagram you provided, the hypothesis is that a number is rational. The conclusion is that the number is an integer.
All integers are rational numbers, but not all rational numbers are integers. This means that the converse of the statement is not true. In other words, if a number is an integer, then it is also a rational number, but if a number is rational, it does not necessarily mean that it is also an integer.
Therefore, the conditional statement "If a is a rational number, then a is an integer" is true.