in the graph of the inequality x - 2y ≥ 4, which is a value for x on the boundary line and the x-axis?

a ) 4
b ) -2
c ) 2
d ) -4

1 answer

The boundary line of the inequality x - 2y ≥ 4 can be found when x - 2y = 4, which represents the equation of the line. To find the x-value on the boundary line that lies on the x-axis, we set y to 0, because all points on the x-axis have a y-coordinate of 0.

Let y = 0. Then:

x - 2(0) = 4
x = 4

So the value of x on the boundary line when it crosses the x-axis is 4.

The correct answer is:

a) 4