To Match: The inequalities with the graphs.
Answer to Problem 40E
- C
- A
- D
- B
Explanation of Solution
Find x and y intercepts.
When x=0, 3(0) -2y = 6 gives y=-3
When y=0, 3x- 2(0)=6 gives x=2
And the inequality = shades the region above the line and line is included. Hence it represents graph c.
B.
Intercepts are (0,-3) and (2, 0) and the inequality < denotes the region above the line and line of the equation 3x-2y=6 is not included (denotes by dotted line). Hence it represents graph a.
C. Intercepts are (0,-3) and (2,0) and the inequality >denotes the region below the line and line of the equation 3x-2y=6 is not included (denotes by dotted line). Hence it represents graph d.
D. Intercepts are (0,-3) and (2,0) and the inequality =denotes the region below the line and line of the equation 3x-2y=6 is included. Hence it represents graph b.
Conclusion:
a. C
b. A
c. D
D. B
Chapter 5 Solutions
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