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Alisiya [41]
3 years ago
12

What’s different about solving inequalities when you have to multiply or divide by a negative number? Can you explain why a spec

ial rule needs to be applied?
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0
Alright, let's take an example. 1 is less than 2, so we can write it as 1<2. However, if we multiplied both sides by -1 without changing anything else, we get -1<-2, but -1 is greater than -2 because it is less negative, so the correct way of writing it would be -1>-2. Therefore, since a number that is less positive than another becomes less negative (and therefore higher) when both are multiplied by -1, we have to change the side of the inequality
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Answer:

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Step-by-step explanation:

7 0
3 years ago
Which set of ordered pairs represents a function?
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The second one because for every x value there is one and only one y value. If you plotted the points and graphed it, you would know it is not a function if it doesn't pass the vertical line test. Notice the same x values show up repeatedly in the other ordered pairs with different y values. Only one y value for every x value
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Which dot plot shows a sample that is most representative of the number of pets in a household?
Dovator [93]

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Step-by-step explanation:

6 0
3 years ago
3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third
mars1129 [50]

The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF

<h3>Inequalities </h3>

From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle

From the given information,

Line DE is about half the length of line DF

That is,

ED = 1/2 DF

Also,

Line FE is about one-third of the length of line DF

That is,

EF = 1/3 DF

Then, we can write that

ED + EF = 1/2DF + 1/3DF

ED + EF = 5/6 DF

Since,

5/6 DF < DF

Then,

ED + EF < DF

Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF

Learn more on Inequalities here: brainly.com/question/1447311

#SPJ1

5 0
2 years ago
Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent
Rom4ik [11]
Magazines that cost $3.95 each, <span>m represent the number of magazines
</span>books that cost $8.95 each, <span>b represent the number of books
</span><span>total of $47.65
</span><span>
so
equation

3.95m + 8.95b = 47.65</span>
5 1
3 years ago
Read 3 more answers
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