What is the interval notation for the compound inequality? x≤−3 or x≥5 (−∝, −3] or [5, ∝) (−∝, −3] or [5, ∝) [−3, 5] [−3, 5] (−∝, −3) or (5, ∝) (−∝, −3) or (5, ∝) (-3, 5)

Answer 1

Hi Amaya!

The compound inequality states that x must be less than or equal to -3 or greater than or equal to 5.

In math we use parentheses ( ) for intervals that do not include the endpoints. We use square or box brackets [ ] for intervals that do include the endpoints. So, we want to be sure the -3 and 5 have brackets because x can be equal to those values.

The correct interval notation is (−∝, −3] or [5, ∝).