For the subtracting fractions, I would just make them into improper fractions (examples: 6/4, 5/3). To do that, you multiply whole number by the numerator (number on top of fraction), then add the denominator (number at the bottom), and finally, leaving the denominator as is.
Then make them have the same denominator. you might have to multiply or divide in order to match the denominators. then you may add or subtract straight across. NEVER change the denominator.
note: you might be required to make the improper fractions into mixed (ex: 4 1/2)
With multiplying, just multiply across (numerator × numerator, and denominator × denominator)
<h3>3
Answers:</h3>
- Choice A. (10, -1)
- Choice B. (-8, 9)
- Choice D. (6, -3)
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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.
Blue=4
red=8
white=4
I hope you are able to solve the question on your one shortly!
Answer:
w=12.5
Hope this helps :)