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kolezko [41]
3 years ago
9

Solve the nonlinear inequality. express the solution using interval notation. (x − 2)(x + 8) < 0 webassign

Mathematics
1 answer:
stepladder [879]3 years ago
8 0
First you find the zeros/x-intercepts using the factors already given in the inequality.

x = 2
x =  - 8

Therefore we make our solution using the interval notation.

- 8 \leqslant x \leqslant 2
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gladu [14]
----------------------------------------------
Define x:
----------------------------------------------
Let x be the number of students in the second class:
⇒second class = x

There are 3 more students in the first class than in the second class:
⇒first class = x + 3

There are 2 more students in the third class than in the second class:
⇒third class = x + 2

----------------------------------------------
Expression for each class:
----------------------------------------------
First class = x + 3
Second class = x
Third class = x + 2

----------------------------------------------
Expression for total number of students:
----------------------------------------------
Total = x + 3 + x + x + 2
Total =  3x + 5

----------------------------------------------
Find x:
----------------------------------------------
There are 80 students in total, so
3x + 5 = 80
3x = 75
x = 25

----------------------------------------------
Find the number of students in each class:
----------------------------------------------
First class = x + 3 = 25 + 3 = 28
Second class = x = 25
Third class = x + 2 = 25 + 2 = 27

--------------------------------------------------------------------------------------------
Answer: There are 25 students in the second class.
--------------------------------------------------------------------------------------------
6 0
4 years ago
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