Question

answer the question but pls dont send nonscence or i will report you​

Answer 1

Answer:

They are not equivalent

Step-by-step explanation:

Let us first convert { x : x belongs to N and 11 > 2x - 1 } into roster form.

We get,

2x - 1

If it is a natural number then x can have the value of

2 x 1 - 1 = 1

2 x 2 - 1 = 3

2 x 3 - 1 = 5

2 x 4 - 1 = 7

2 x 5 - 1 = 9

2 x 6 - 1 = 11

So { x : x belongs to N and 11 > 2x - 1 } in roster form is { 1 , 2 , 3 , 4 , 5 , 6 }

Next, we will convert { y : y belongs to W and < y < 9 } into roster form.

We get { 3 , 4 , 5 , 6 , 7 , 8 , 9 }

Clearly { 1 , 2 , 3 , 4 , 5 , 6 } is not equal to { 3 , 4 , 5 , 6 , 7 , 8 , 9 } so they are not equivalent.

Hope this helps !!

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Scroll down if you need additional information.

N = Natural numbers

Q = rational numbers

Z = Integers

R = Real numbers

W = Whole numbers

$Q^{+}$ = Positive rational numbers

$Q^{-}$ = Negative rational numbers

$R^{+}$ = Positive real numbers

$R^{-}$ = Negative real numbers

$Z^{+}$ = Positive integers

$Z^{-}$ = Negative integers