SOLUTION: Which of the following statements is / are correct for the graph that represents the inequality x − 2y > 3? A. The graph consists of all points above the line defined by x −

Algebra ->  Formulas -> SOLUTION: Which of the following statements is / are correct for the graph that represents the inequality x − 2y > 3? A. The graph consists of all points above the line defined by x −      Log On


   

Question 1142375: Which of the following statements is / are correct for the graph that represents the inequality x − 2y > 3?
A. The graph consists of all points above the line defined by x − 2y = 3.
B. The graph consists of all points below the line defined by 2y − x = −3.
C. The graph consists of all points below or on the line defined by
y = 1/2x − 3/2.
1. Only A
2. Only B
3. Only C
4. Only A and B
5. None of them
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x-2y%3E3
-2y%3E-x%2B3
y%3Ex%2F2-3%2F2--------------Reject choice C.

Look at choices A and B and compare with the slope-intercept inequality.

A:
x-2y=3, same equation as would come from the inequality y%3Ex%2F2-3%2F2. Description matches THIS inequality.


B:
2y-x=-3
2y=x-3
y=x%2F2-3%2F2, again same equation as comes from the given inequality. "Below the line" does not match.


Select:
1. Only A