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spayn [35]
3 years ago
12

List the members of these sets.

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0
<span>a.{x | x is a real number such that x^2 = 1}

x^2 = 1 => x = +/- 1

=> {-1, 1} <------ answer

b.{x | x is a positive integer less than 12}

1 ≤ x < 12 => {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} <------ answer

c.{x | x is the square of an integer and x < 100}

x = n^2 < 100 => n^2 - 100 < 0

=> (n - 10) (n + 10) < 0

=> a) n - 10 > 0 and n + 10 < 0  => n > 10 and n < - 10 which is not possible

b) n - 10 < 0 and n + 10 > 0 => n < 10 and n > - 10 => - 10 < n < 10

=> n = { - 9, - 8, - 7, - 6, - 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

=> x = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} <---- answer

d.{x | x is an integer such that x^2 = 2} </span>

x =  {∅ } because x is √2 which is not an interger but an irrational number

=> Answer: { ∅ }
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The students in the Go Green dub started a whool recling program. In
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Answer:

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Step-by-step explanation:

In September, the students collected 85 pounds of paper and 18 pounds of cans to recycle.

In October, their goal is to collect three times the amount of paper and five times the amount of cans they collected in September.

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In total, they collected

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