(a)
To graph: the system of inequalities to represent the situation.
(a)
Answer to Problem 44PPS
The region
Explanation of Solution
Given:
Team contains
Concept used:
Graphing the inequalities, it will graph the ordinary linear functions just like it is done before. The difference is that a solution to the inequality is not the drawn line but the area of the coordinate plane that satisfy the inequality.
The boundary line is dashed for
The difference is that a solution to the inequality is not the drawn line but area of the coordinate plane that satisfy the inequality.
The common area is the solution of inequality.
Calculation:
Expect
Then, the combination of inequality to explain this situation is expressed as shown below.
Graph the inequalities as shown below:
Hence, the region
(b)
To find: the all possible combinations of boys and girls for the team.
(b)
Answer to Problem 44PPS
There is
Explanation of Solution
Given:
Team contains
Concept used:
The combination in general
A combination is a selection s of all part of a set of objects, without the regard to the order in which it is selected.
Calculation:
The possible combinations of boys and girls for the team are written as follows:
Hence, there is
(c)
To find: the reason for an infinite number of possibilities.
(c)
Answer to Problem 44PPS
There is not an infinite number of possibilities.
Explanation of Solution
Given:
Team contains
Concept used:
If the given set is finite then there possible ways is also finites.
Calculation:
There is no infinite number of possibilities, because in a team there cant be fraction of players.
If the given set is finite then the possible ways is also finites.
Hence, there is not an infinite number of possibilities.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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