Question

HOW DO YOU SEE IT The diagram represents the number of students in a school with brown eyes,

brown hair, or both.
*picture*
Determine whether each inequalities must be true. Explain your reasoning.
(Choices in photos)

Answer 1

The first inequality must be false, and the second inequality must be true.

Step-by-step explanation:

To determine whether each inequality must be true, we need to analyze the diagram.

Let's consider the first inequality: Number of students with brown eyes < Number of students with brown hair.

Looking at the diagram, we see that the circle representing brown eyes is completely within the circle representing brown hair. This means that all students with brown eyes also have brown hair. Therefore, the inequality Number of students with brown eyes < Number of students with brown hair must be false. In other words, the number of students with brown eyes is greater than or equal to the number of students with brown hair.

Using the same logic, we can analyze the second inequality: Number of students with brown eyes > Number of students with brown hair. Since all students with brown eyes also have brown hair, the inequality Number of students with brown eyes > Number of students with brown hair must be true.

Answer 2

a. true; the # brown hair is either greater than or equal to the # of brown eyes

b. false; the # of brown hair + 10 can only be greater to the # of brown eyes, not equal

c. true; the # of brown hair can only be greater than the # of both brown hair & eyes

d. false; the # of brown hair + 10 can only be greater then the # of both, not equal

e. true; the # of brown hair can only be greater then the # of both brown hair & eyes

f. true; the # of brown hair + 10 can only be greater then the # of both

Step-by-step explanation:

hope this helped you out