1.
For which of the following systems of inequalities is the intersection of the boundary lines included in the solution?
Select one:
a. x+y<5,x+6y>7x+y<5,x+6y>7
b. x+y<5,x+6y≥7x+y<5,x+6y≥7
c. x+y≤5,x+6y>7x+y≤5,x+6y>7
d. x+y≤5,x+6y≥7
2.
You need to earn at least $1500$1500 in order to afford a special vacation. You've found 2 part-time jobs: painting fences at $16/hr$16/hr and managing a laundry mat for $20/hr$20/hr. However, you can only work a maximum of 1010 hours per week.
If xx is the number of hours spent painting fences and yy is the number of hours spent managing the laundry mat, which of the following system of inequalities best describes your scenario:
Select one:
a. 16x+20y≥150016x+20y≥1500
x+y≤10x+y≤10
x≥0x≥0
y≥0y≥0
b. 16x+20y≤150016x+20y≤1500
x+y≥10x+y≥10
x≤0x≤0
y≤0y≤0
c. 16x+20y≥150016x+20y≥1500
x+y≥10x+y≥10
x≥0x≥0
y≥0y≥0
d. 16x+20y≤150016x+20y≤1500
x+y≤10x+y≤10
x≥0x≥0
y≥0
