Determine whether each statement is true or false. {x | x is a...

Question

Determine whether each statement is true or false. {x | x is a natural number less than 3}= {1, 2}

Accepted Answer

Hello. Today we're going to be determining whether the given statement is true or false. So what we are told is that why such that why is a negative integer more than negative 10? And that is equal to negative nine. Negative eight. Negative seven. Going all the way to negative one. So let's just go ahead and think about this part of the statement. Why is a negative number more than negative 10? So what this means is we want all the numbers why to be greater than negative 10? Not including negative 10 because we're looking specifically for anything that is more than negative 10. However, the statement also states that it wants y to be negative integers and anything that is negative lies on the number line before zero. Which means that the values of why need to be less than zero. So the range of numbers that Y can be equal to is anything that's more than negative 10. Starting with negative nine and working all the way to negative one because anything after negative one is either going to be zero or a positive integer. And what the statement says is that this is going to be the set of numbers negative nine, negative eight, negative seven. Going all the way to negative one, which is exactly what we wrote right here. So that means that the given statement is true and the answer to this problem is going to be a so I hope this video helps you in understanding how to approach this problem and I'll go ahead and see you all in the next video

Determine whether each statement is true or false. {x | x is a natural number less than 3}= {1, 2}

Key Concepts

Set Notation

Natural Numbers

Set Equality

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