Select the correct set builder notation for the phrase: "The set of all y-values such that y is greater than or equal to -3."(1 point)
Responses
{y| y≥−3}
{y| y≤−3}
{y| y=−3 ,−2, −1, 0, ...}
{y| y∈R}
{y| y≥−3}
The correct set builder notation for the phrase "The set of all y-values such that y is greater than or equal to -3" is:
{y| y≥−3}
The correct set builder notation for the given phrase "The set of all y-values such that y is greater than or equal to -3" can be represented as {y| y≥−3}.
To understand how we arrive at this answer, let's break down the problem and the options provided:
Option 1: {y| y≥−3}
This notation represents a set of y-values where y is greater than or equal to -3. This is the correct option as it matches the given phrase.
Option 2: {y| y≤−3}
This notation represents a set of y-values where y is less than or equal to -3. This is not the correct option as it does not match the given phrase.
Option 3: {y| y=−3, −2, −1, 0, ...}
This notation represents a set of specific y-values, including -3, -2, -1, 0, and so on. This is not the correct option as it does not express the inequality "greater than or equal to -3."
Option 4: {y| y∈R}
This notation represents a set of all y-values that are real numbers. This is not the correct option as it is not specific to the condition "greater than or equal to -3."
Therefore, the correct set builder notation is {y| y≥−3}.