Question

Which of the following ordered pairs is not a solution to the inequality y <(line under) -2x - 3?

(0, -4)
(-2, -1)
(-1, 0)
(-4, 0)

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Part 1: Solve the inequality -3x + 4 x + 8 and show all of your work. You can use <= to represent the less than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1.

Answer 1

So this question is: Which of the following ordered pairs is not a solution to the inequality "y is less than or equal to -2x - 3"
On questions like these, I find it's fastest to just try each pair, especially the ones with the zero. Substitute the first value for x and the second value for y.

Is -4 less than or equal to -2(0) -3? Yes.

Then I'd skip to the third one because it has a zero.
Is 0 less than or equal to -2(-1) -3? No.
That's the same as "is 0 less than -1"
No! That's false.
So there, we have the culprit! The third value is not solution!

Answer 2

I think i'm getting it better now (:
how about the second one?

Answer 3

You can graph it as if it were just a line: y = -2x - 3
Then make is solid (not dashed) because the original statement entails equality.
Then shade either the top or bottom region above or below the line that doesn't include the point we said shouldn't be included.