The inequality for all numbers greater than or equal to negative eight can be expressed in both standard inequality notation and set-builder notation.
1. Inequality Notation:
x ≥ -8
This reads as "x is greater than or equal to negative eight."
2. Set-Builder Notation:
x ≥ -8
This reads as "the set of all x such that x is greater than or equal to negative eight."
In set-builder notation, the vertical bar (\(|\)) is read as "such that" or "such that the condition is true for." The expression to the right of the vertical bar represents the condition that must be satisfied by the elements in the set. In this case, it specifies that \(x\) must be greater than or equal to negative eight.