Question

Inequality: 2x+2 y ≤ 50 graphed

Answer 1

To graph the inequality 2x + 2y ≤ 50, we can start by graphing the related equation 2x + 2y = 50.

First, let's find the x and y-intercepts:
When x = 0, 2(0) + 2y = 50,
2y = 50,
y = 25.
So, the y-intercept is (0, 25).

When y = 0, 2x + 2(0) = 50,
2x = 50,
x = 25.
So, the x-intercept is (25, 0).

Plot these intercepts on a coordinate plane:
x-intercept: (25, 0)
y-intercept: (0, 25)

Next, we can find one more point to graph the line. Let's choose x = 10.
When x = 10, 2(10) + 2y = 50,
20 + 2y = 50,
2y = 50 - 20,
2y = 30,
y = 15.

So, another point on the line is (10, 15).

Plot this point as well.

Now, we can connect all three points with a straight line.
Here is the graph of 2x + 2y = 50: