Question

Which points are solutions to the linear inequality y < 0.5x + 2? Select three options.

Answer 1

Some solutions for the given linear inequality:

y < 0.5x + 2

are:

{(0, 1), (1, 2), (2, 2)}

Which points are solutions of the linear inequality?

Here we have the linear inequality:

y < 0.5x + 2

To find the points we can evaluate the right side, and then find values of y such that the inequality is true.

For example, if we use x = 0, then we get:

y < 0.5*0 + 2

y < 2

A value of y such that this is true is y = 1

Then the point (0, 1) is a solution of the inequality.

Another example can be with x = 1:

y < 0.5*1 + 2

y < 2.5

This time we can select y = 2, then the solution is (1, 2).

To get a final solution we can evaluate in x = 2

y < 0.5*2 + 2

y < 3

Then a possible solution is y = 2 again, so the solution is (2, 2).

Notice that for each of these values of x, there are a lot of other points that are solutions.

If you want to learn more about inequalities:

brainly.com/question/18881247

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