Answer:
(2,0)
Step-by-step explanation:
The solution of the inequality 
is shown in attached diagram.
The boundary line is dotted line, because the sign of inequality is without notion "or equal to". The dotted line means that points lying on this line are not solutions of the inequality. The solutions are those points lying in the shaded region.
From the points (0,2), (2,0), (1,-2), (-2,1) only point (2,0) lies on the shaded region, so only point (2,0) is a solution to the inequality
Let Home runs = X
Triples would be X-3 ( 3 less triples than home runs)
Doubles would be 3x ( 3 times as many doubles as home runs)
Singles would be 45(x-3) ( 45 times as many singles as triples)
Simplify the equation for singles to be 45x-153
Now you have X + x-3 + 3x + 4x-135 = 262
Simplify:
50x - 138 = 262
Add 138 to both sides:
50x = 400
Divide both sides by 50:
x = 400/50
x = 8
Home runs = x = 8
Triples = x-3 = 8-3 = 5
Doubles = 3x = 3(8) = 24
Singles = 45(x-3) = 45(8-3) = 45(5) = 225
Let the two numbers are x and y
Let larger number = x
and smaller number = y
it means
x-y = 0.77
Now it says larger number is increased 5 times
So it now becomes 5x
So second equation becomes
5x -y =77
Now we have to solve these two equations
x-y = 0.77 and 5x-y = 77
multiply first equation by -1 and then add both equations
-x+y = -0.77
Now on adding we get
-x+5x +y -y = 77-0.77
4x = 76.23
Divide both sides by 4
x=19.0575
We get the larger number , now subtract 0.77 from this , we will get the smaller number
y=19.0575-0.77=18.2875
y=18.2875
Hence the larger number = 19.0575
Smaller number = 18.2875
Let A be the event 'made by Apex and defective':
P(A) = 0.67 x 0.11 = 0.0737
Let B be the event 'made by B-ink and defective':
P(B) = 0.33 x 0.06 = 0.0198
Let C be the event 'made by Apex or B-ink and defective':
P(C) = P(A) + P(B) = 0.0737 + 0.0198 = 0.0935
P(defective and made by Apex) = 0.0737/0.0935 = 0.788
The answer is 0.788 or 78.8%.
