
a.
whether the inequality
a.

Answer to Problem 36E
No
Explanation of Solution
Given:
The diagram below represents the number of students with brown eyes, brown hair or both.
The inequality
Since here definite quantities are not given, so it is not possible just by looking at the diagram to determine whether the number of students with brown hair is greater than or equal to the number of students with brown eyes or not.
b.
whether the inequality
b.

Answer to Problem 36E
No
Explanation of Solution
Given:
The diagram below represents the number of students with brown eyes, brown hair or both.
Since it is not possible to determine whether the number of students with brown hair is more than the number of students with brown eyes or not.
So, it can’ t be guaranteed that on adding 10 to the number of students with brown hair, the sum will be greater than or equal to the number of students with brown eyes.
c.
whether the inequality
c.

Answer to Problem 36E
Yes
Explanation of Solution
Given:
The diagram below represents the number of students with brown eyes, brown hair or both.
The inequality
Since from the given diagram it can be observed that, the set of students with both brown eyes and brown hair is contained in the set of students with brown hair.
Thus, the number of students with brown hair is greater than or equal to the number of students with both brown eyes and brown hair.
d.
whether the inequality
d.

Answer to Problem 36E
No
Explanation of Solution
Given:
The diagram below represents the number of students with brown eyes, brown hair or both.
Since the number of students with brown hair is greater than or equal to the number of students with both brown eyes and brown hair.
So, it is guaranteed that on adding 10 to the number of students with brown hair, the sum will be greater than or equal to the number of students with both brown eyes and brown hair.
e.
whether the inequality
e.

Answer to Problem 36E
No
Explanation of Solution
Given:
The diagram below represents the number of students with brown eyes, brown hair or both.
The inequality
But it is not true as there is a possibility that all the students with brown hair also have brown eyes. That is the case where set H is equal to the set X.
f.
whether the inequality
f.

Answer to Problem 36E
Yes
Explanation of Solution
Given:
The diagram below represents the number of students with brown eyes, brown hair or both.
Since from part (c), the inequality
Chapter 2 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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