Rational Inequalities

Question 1

Which inequality models this situation?

Revolt · Accepted Answer

mc001-4.jpg

Question 2

What is the simplified rational inequality?

Revolt · Accepted Answer

mc002-2.jpg

Question 3

Which below is the first step in solving the rational inequality?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-08-10-25-03-task/mc001-1.jpg

Question 4

What common denominator can be used to write the left side as one rational expression?10x10 + x✔ 10(10 + x)20 + x

Revolt · Accepted Answer

10(10 + x)

Question 5

As the number of phones produced increases, will the working rate ever get to 100%? Explain.

Revolt · Accepted Answer

Although the percentage might eventually round to 100%, it is not possible to have 100% of the phones working. This is because the model began when only 3 out of 10 phones were working, so there are 7 phones that were not working. In other words, the numerator and denominator of the expression are never the same, so the expression is never equal to 1 or 100%.

Question 6

Next you need to find the critical points. What are the critical points, and how are they found?

Revolt · Accepted Answer

The critical points are −10 and 25. Set the numerator and denominator equal to 0: x − 25 = 0 gives x = 25, and 5(10 + x) = 0 gives x = −10.

Question 7

Which did you include in your response?

Revolt · Accepted Answer

The critical points are found by setting the numerator and denominator equal to 0.; The critical points are at –10 and 25.

Question 8

Test points for the intervals are shown. Select the test points that make the inequality true.

Revolt · Accepted Answer

x = –15; x = 30

Question 9

%The next 100 phones are working?

Revolt · Accepted Answer

⇒ 88.3: 98.6

Rational Inequalities Answers

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