Answer:
The function given by will have a range of y < 3.
Step-by-step explanation:
The function given by will have a range of y < 3.
This is because, for any real values of x, the term will have a negative value. If we put x = 1, then,
= - 2, and for x = -1, then
= - 0.5.
That means for all real x.
Hence, < 0 + 3
⇒ y < 3 for all real x. (Answer)
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Explanation:
If we plug the coordinates of point A into the inequality, then we get
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
which is false
You should find that choice E is false as well.
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If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
