Answer :
The system of inequalities are:
[tex]x+y\leq 15\\\\3x+5y\geq 60[/tex]
Solution:
Let "x" be the number of hours spent at moving lawn
Let "y" be the number of hours spent at baby sitting
Therefore,
Suppose you can spend no more than 15 hours a week at your two jobs
Which means, you can spend less than or equal to 15 hours
[tex]x+y\leq 15[/tex]
Moving lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.
Which means, you have to greater than or equal to 60 a week
Therefore,
[tex]3x+5y\geq 60[/tex]
Thus the two inequalities are found