Given:
The system of inequalities is
To find:
The values of a for which the system has no solution.
Solution:
We have,
...(1)
It means the value of x is less than or equal to 5.
...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
Answer:
Part 1) Option A. y = 110 + 10x; y = 40x
Part 2) The smallest number of visits is equal to 4
Step-by-step explanation:
Part 1) Choose the two equations that represent the situation
Let
x ----> the number of museum visits
y ----> the total cost for the visit to the art museum
we know that
<em>Non-member</em>
<em>Member</em>
Part 2) Write an inequality that represents the number of museum visits for which the total member cost is less than the non-member cost
The inequality that represent the situation is
Solve for x
Rewrite
Round to the nearest whole number (Remember that the number of visits cannot be a decimal number)
therefore
The smallest number of visits is equal to 4