Final answer:
The interval −25≤x<30 is represented in set notation as {x∣−25≤x<30} and in interval notation as [−25,30).
Step-by-step explanation:
To write the interval −25≤x<30 using set notation and interval notation, let's translate the given inequality into each type of notation.
Set Notation is a way to describe a set of all elements that satisfy a certain condition. For the interval −25≤x<30, the set notation is {x∣−25≤x<30}, which reads as "the set of all x such that x is greater than or equal to -25 and less than 30".
Interval Notation is a way to represent the range of numbers on the real number line. In interval notation, we use brackets [ ] to denote inclusion (or closed interval) and parentheses ( ) to denote exclusion (or open interval). So, the interval notation for −25≤x<30 is [−25,30).
Combining these, the correct answer is:
Set Notation: {x∣−25≤x<30}, Interval Notation: [−25,30)