Question

graph the solution set for this inequality:
\\(4x - 2y > 8\\)

step 1: identify the \\(x\\)- and \\(y\\)-intercepts of the boundary line.
when \\(x = 0\\), \\(y = \\)
when \\(y = 0\\), \\(x = \\)

Explanation:

Find the boundary line equation

The given inequality is:

$$4x - 2y > 8$$

The boundary line is:

$$4x - 2y = 8$$

Calculate the y-intercept

Set \(x = 0\) in the boundary equation:

$$4(0) - 2y = 8$$

$$-2y = 8$$

$$y = -4$$

Calculate the x-intercept

Set \(y = 0\) in the boundary equation:

$$4x - 2(0) = 8$$

$$4x = 8$$

$$x = 2$$

Answer:

Step 1: Identify the x- and y-intercepts of the boundary line.

When \(x = 0\), \(y =\) <blank>-4</blank>
When \(y = 0\), \(x =\) <blank>2</blank>