Lars works as a nurse and a lumberjack. he wants to work for at most 666 days this week, and he wants to earn more than \$950$950dollar sign, 950. n+l \leq 6n+l≤6n, plus, l, is less than or equal to, 6 represents the number of days lars can work as a nurse nnn and lumberjack lll in order to work at most 666 days this week. 216n+112l > 950216n+112l> 950216, n, plus, 112, l, is greater than, 950 represents the number of days lars can work as a nurse and a lumberjack to earn more than \$950$950dollar sign, 950. does lars meet both of his expectations by working as a nurse for 222 days and working as a lumberjack for 444 days?

Lars works for the expected number of days but doesn't earn the expected amount of money.

Step-by-step explanation:

Let's check whether Lars works for the expected number of days this week by working as a nurse for 2 days and working as a lumberjack for 4 days. To do this, we substitute N=2 and L=4 into the first inequality:

N+L≤6

2+4≤6

6≤6

The true inequality shows that Lars works for the expected number of days this week by working as a nurse for 2 days and working as a lumberjack for 4 days.

Now let's check whether Lars earns the expected amount of money by working as a nurse for 2 days and working as a lumberjack for 4 days.

To do this, we substitute N=2 and L=4 into the second inequality.

216N+112L>950

216(2)+112(4) > 950

880 >950

The false inequality shows that Lars doesn't earn the expected amount of money by working as a nurse for 2 days and working as a lumberjack for 4 days.

Lars works for the expected number of days but doesn't earn the expected amount of money.