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≥−3}
{y| y=−3 ,−2, −1, 0, ...}
{y| y=−3 ,−2, −1, 0, ...}
{y| y≤−3}
{y| y≤−3}
{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 phrase "The set of all y-values such that y is greater than or equal to -3" is:
{y | y ≥ -3}
To understand how we arrived at this notation, let's break it down:
1. The notation starts with a curly brace "{", indicating that we are defining a set.
2. Next, we have "y |". The vertical bar "|" separates the variable (in this case, y) from the condition/restriction.
3. The condition is "y ≥ -3", which means that we are considering all y-values that are greater than or equal to -3.
Therefore, the correct set builder notation for this phrase is {y | y ≥ -3}.