Question

The solution set of the inequality 2x−y>2 consists of all the points _ the line?

A. Above, y=2x−2
B. Below, y=2x−2
C. Above; y=−2x+2
D. Below, y=−2x+2

Answer 1

The solution set of the inequality 2x - y > 2 consists of all the points above the line y = 2x - 2.

Step-by-step explanation:

The solution set of the inequality 2x - y > 2 consists of all the points above the line y = 2x - 2. This is because the inequality is asking for all the points where the y-value is greater than the expression 2x - 2. To graph the line y = 2x - 2, you can start by plotting the y-intercept, which is -2, and then using the slope of 2/1 to plot another point. Connecting these two points will give you a straight line. Since the inequality is asking for points that are greater than the line, the answer is A. Above, y = 2x - 2.