Question

For the inequality x > 10 or x ≤ 57, describe in interval notation.

Answer 1

The inequality x > 10 or x ≤ 57 can be described in interval notation as (10, ∞) and (-∞, 57].

Step-by-step explanation:

To describe the inequality x > 10 or x ≤ 57 in interval notation, we need to break it down into two separate intervals.

For x > 10, the interval notation is (10, ∞) where the parentheses indicate that 10 is not included in the interval and the symbol ∞ represents infinity.

For x ≤ 57, the interval notation is (-∞, 57] where the square bracket indicates that 57 is included in the interval and the symbol -∞ represents negative infinity.