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Explain Bot To find the ordered pair for the inequality y > -4x - 2, we need to substitute different values of x and solve for y.
Here's how you can do it:
1. Choose a value for x, let's say x = 0, and substitute it into the inequality:
y > -4(0) - 2
Simplifying this, we get:
y > -2
2. So, when x = 0, any value of y greater than -2 will satisfy the inequality. Therefore, we can choose any value greater than -2 for y.
3. Now, let's take another value for x, such as x = 1, and substitute it into the inequality:
y > -4(1) - 2
Simplifying this, we get:
y > -6
4. So, when x = 1, any value of y greater than -6 will satisfy the inequality.
By following the same steps, you can generate an infinite number of ordered pairs for this inequality. The ordered pairs will have the form (x, y) and will satisfy y > -4x - 2 as long as you choose values for x and y that meet the inequality condition.