You can work no more than 60 hours each week at your two jobs. dog walking pays $7 per hour and your sales job at computers & more, inc. pays $12 per hour. you need to earn at least $450 each week to pay your bills. your friend solves the system of inequalities {x+y≤60
{7x+12y≥450
and tells you that a possible solution is (-3, 50). is this a possible solution, why or why not?

Is not a possible solution

Because the number of hours can not be negative

Step-by-step explanation:

Let

x------> the number of hours in the dog walking job

y----->  the number of hours in the sales job

we know that

-----> inequality A

------> inequality B

Remember that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must satisfy both inequalities

we have

------> Is not a possible solution

Because the number of hours can not be negative

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice