Answer:
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Step-by-step explanation:
Given the statement:
Anja represents the inequality 
with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to 
"at least" means 
then;
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to 
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.
This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.
Thirty-four million, two hundred thirty-five thousand, three hundred forty-five
PQRS is corresponding to LMNO.
Which means that angle QRS is corresponding to angle MNO
