Question

Write the interval -25 ≤ x < 30 using set notation and interval notation.

a) x
b) [-25, 30)
c) (-25, 30]
d) (-[infinity], -25) U [30, [infinity])

Answer 1

The interval -25 ≤ x < 30 is written in set notation as x and in interval notation as [-25, 30).

Step-by-step explanation:

The interval -25 ≤ x < 30 can be expressed using set notation and interval notation. In set notation, it is represented as x , which reads "the set of all x such that x is greater than or equal to -25 and less than 30." In interval notation, the same interval is represented as [-25, 30), indicating that -25 is included in the interval (note the square bracket) while 30 is not included (note the parenthesis). Use of brackets indicates inclusion of the endpoint, while parentheses indicate exclusion of the endpoint. Multiple intervals can be combined using the union symbol (U). Therefore, the correct answer choice is d) (-[infinity], -25) U [30, [infinity]).