Determine whether each ordered pair is a solution to the inequality x+y>−2. (10,−1)
(−8,9)
(−1,−9)
(6,−3)
(7,−9)

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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.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt