3 - 2x > = -17
-2x > = -17 - 3
-2x > = - 20...change the inequality sign when dividing by a negative
x < = -20/-2
x < = 10.........graph D
Let 'x' be the problems worth 2 points.
Let 'y' be the problems worth 3 points.
Since, there are 38 total problems.
So,
(equation 1)
x = 38-y
Since, a perfect score is 100 points.
So,
(equation 2)
Substituting the value of 'x', we get
![2(38-y)+3y=100](https://tex.z-dn.net/?f=2%2838-y%29%2B3y%3D100)
![76-2y+3y=100](https://tex.z-dn.net/?f=76-2y%2B3y%3D100)
![76+y = 100](https://tex.z-dn.net/?f=76%2By%20%3D%20100)
y = 24
x+y = 38
x = 38-24 = 14
So, 14 problems are worth 2 points and 24 problems are worth 3 points.
Answer : 3/4 - Use A Calculator to check your work