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."
{y| y≤−3}
{y| y∈R}
{y| y=−3 ,−2, −1, 0, ...}
{y| y≥−3}
{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 is {y| y≥−3}.
To understand why this is the correct notation, let's break down the phrase:
"The set of all y-values such that y is greater than or equal to -3."
In set builder notation, we start with "y|", which means "y such that". This indicates that we will define the set based on the condition that follows.
The condition given is "y is greater than or equal to -3." In mathematical notation, we represent "greater than or equal to" with the symbol "≥".
Therefore, the correct set builder notation is {y| y≥−3}.
You can also understand this notation as "the set of all possible values of y, such that y is greater than or equal to -3."