Answered

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Which of the following represents the set in words?
{x | x ≤ 0}
all negative integers
None of these
all positive integers
all negative real numbers
all positive real numbers

Sagot :

Answer:

It's actually: None of these.

Think about it: In this case we have an inequality, of x ≤ 0.

This basically means, that x can be less than OR equal to 0.

But 0 is neither negative or positive, so we can eliminate the following answer choices:

- all positive integers

- all negative real numbers

- all positive real numbers

- all negative integers

And we are left with "None of these"

Let me know if this helps!

abidemiokin

Option B is correct. None of these options is the right answer since zero is neither an integer nor a real number

Before we can decide which option is correct, first we must integers and real numbers are.

  • Integers are whole numbers. They can either be positive and negative.

  • Real numbers are numbers that are both whole numbers and fractions.
  • zero is neither positive nor negative integer

Given the set of numbers {x | x ≤ 0}. The set of numbers in the set will be all integers less than zero including zero (zero is not an integer)

Hence the set of numbers are not all negative integers since 0 is not a negative integer.

They are not all positive integers rather they are mostly negative integers

They are not all positive and negative real values because zero is not a real integer.

Hence we can conclude that None of the options is correct.

 

Learn more here: https://brainly.com/question/2691012

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