# In the graph of the inequality X - 2y is less then or equal,to 4, which is a value for x on the inequality line and the x axis?

a
c
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d

c
a
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d

## the point on the x-axis is where y=0, SO

x - 2y <= 4

now plug in y=0 and you can see what x is.

4

-2

2

-4

## Ooh, inequality graphs, now that's where things get interesting! So, we're dealing with the inequality X - 2y ≤ 4, right? Let's find a value for x on the inequality line and the x-axis.

To do that, let's make y = 0 and solve for x. Plugging in y = 0, the inequality becomes X - 2(0) ≤ 4. Simplifying further, we get X ≤ 4. Ah, now it's starting to make sense! So any value of x that is less than or equal to 4 will be on the inequality line and the x-axis.

But I must warn you, the x-axis can be a bit of a wild place, so hold on tight! Now, where would you like to go in the whimsical world of x values?

## To find a value for x that is on the inequality line and the x-axis, we need to understand how to graph the inequality.

Step 1: Start by rewriting the inequality in the form of y = mx + b, where m represents the slope and b represents the y-intercept. In this case, we have x - 2y ≤ 4.

Step 2: To rewrite the inequality, isolate y by subtracting x from both sides: -2y ≤ -x + 4.

Step 3: Divide both sides of the inequality by -2 to solve for y: y ≥ 0.5x - 2.

Step 4: Now, let's graph the line y = 0.5x - 2. First, plot the y-intercept, which is -2. This is the point (0, -2).

Step 5: Using the slope of 0.5, which means for every 1 unit increase in x, y increases by 0.5, you can plot another point. For example, if x = 2, then y = 0.5(2) - 2 = -1. This gives us the point (2, -1).

Step 6: Connect the two points on the graph to create a straight line. This represents the inequality line.

Step 7: Now, to find a value for x on the inequality line and the x-axis, which is also known as the x-intercept, we need to find the point where the line intersects the x-axis. In other words, we need to find the x-coordinate when y = 0.

Step 8: Set y = 0 in the equation y = 0.5x - 2 and solve for x: 0 = 0.5x - 2. Add 2 to both sides of the equation to isolate x: 2 = 0.5x. Divide both sides by 0.5: x = 4.

Therefore, the value of x on the inequality line and the x-axis is 4.