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∈R}
{y| y∈R}
{y| y≤−3}
{y| y≤−3}
{y| y≥−3}
{y| y≥−3}
{y| y=−3 ,−2, −1, 0, ...}
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 phrase "The set of all y-values such that y is greater than or equal to -3" is {y| y≥−3}.
To select 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," we need to express it in a format that represents the set of possible values for y using set builder notation.
Set builder notation typically follows the form {variable| condition}, where the variable is the element of the set and the condition specifies the characteristics or restrictions for the variable.
In this case, we want to represent the set of all y-values that are greater than or equal to -3. So, the correct set builder notation would be:
{y| y ≥ -3}
This notation states that the variable y belongs to the set, and it is subject to the condition that y is greater than or equal to -3.
Hence, the correct option is:
{y| y ≥ -3}