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alex41 [277]
2 years ago
12

Consider sets R, S, and T, defined as follows: R = { x ϵ Z | x is divisible by 2 }S = { y ϵ Z | y is divisible by 3 }T = { z ϵ Z

| z is divisible by 6 }a) Is R ⊆ T? Explain.b) Is T ⊆ R? Explain.c) Is T ⊆ S? Explain.
Mathematics
1 answer:
Trava [24]2 years ago
4 0

Answer:a) No b)Yes c) No

Step-by-step explanation:

a) No, R is not a subset of T that is NOT ALL the elements of R can be found in T. For R ⊆ T, it means that ALL the element of R can be found in T which is false in this case.

b) Yes, T is a subset of R that is ALL the element of T can be found in T since all the elements in both sets are all even. For T ⊆ R, it means that ALL the element of T can be found in R

c) No, T is not a subset of S that is NOT ALL the elements of T can be found in S. For T ⊆ S, it means that ALL the element of T can be found in S which is false in this case.

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2. 90 inches per hour

Step-by-step explanation:

speed = \frac{distance}{time}

1. total distance covered = \frac{9}{8} + \frac{27}{8}

                                      = \frac{9+27}{8}

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                                         = 1.5

The ants speed is 1\frac{1}{2} inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x = \frac{3}{60}

  = \frac{1}{60}

  = 0.05 hours

Speed = \frac{4.5}{0.05}

           = 90 inches per hour

The red ants speed is 90 inches per hour.

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