To which set of real numbers does the following number belong?

Mathematics

2 answers:

strojnjashka [21]3 years ago

7 0

Irrational would be the right answer!

Sever21 [200]3 years ago

4 0

Discussion

A whole number is a counting number. 2 5 29 44 18 are all counting numbers. They have no decimals trailing after them. C is not the answer.

An imaginary number is one like 18i where i is the square root of - 1. Nothing in our number system will give the square root of - 1 so we have to define that condition into our number system. i * i = - 1. So by definition and definition alone i is the square root of - 1. Those are called imaginary numbers because they are defined.

A rational number can be expressed as a fraction. It does not matter what kind of fraction. It is just a fraction. 3 1/3 = 10/3 That's a rational number. 14/7 is also rational.

sqrt(3) is irrational. It has an endless line of decimal places that have no pattern. 1/7 = 0.142857 ... repeating. But it is rational even though the decimal goes on forever. If I tell you the 70th place is a 5, I can tell you that the next digit will by a 7 [The 5 may not be true].

No such statement can be made about sqrt(3).

Answer: irrational.

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PLS HELP IM FAILING MATH!

oksano4ka [1.4K]

Answer:

1. Never true

2. Never true

3. Bad question! Typo? (see discussion below)

4. Always true

5. Always false

Step-by-step explanation:

1. x - 13 = x + 1. Subtract x from both sides of the equation, and you get -13 = 1. False! (Never true!)

2. x + 1/2 = x - 1/2. Subtract x from both sides: 1/2 = - 1/2. False! (Never true!)

3. This one's weird, with two equal signs. That's not unusual; multiple equal signs are often used when a chain of equalities is being displayed. For instance, you can write (3)(2x + 5) = (3)(2x) + (3)(5) = 6x + 15. That's an example of the Distributive Property--the 3 is multiplied by both of the terms inside parentheses (shown after the first equal sign), then actually doing those multiplications produces the expression after the second equal sign.

OK! This question says 2(x + 3) = 5x = 6 - 3x. Take it in two parts.

a. 2(x + 3) = 5x Distribute the 2.

2x + 6 = 5x Now subtract 2x from both sides.

6 = 3x Divide both sides by 3.

2 = x So that first part is true only when x = 2. Gaa! That's not one of your answer choices. Now, check out the second part

b. 5x = 6 - 3x Add 3x to both sides.

8x = 6 Divide by 8

x = 6/8 = 3/4

It doesn't help to use the first and <u>third</u> expressions, either.

2(x + 3) = 6 - 3x Distribute the 2

2x + 6 = 6 - 3x Add 3x.

5x + 6 = 6 Subtract 6.