Question

Write the solution to the given inequality in interval notation.

[4,5)
(4,5]
(-∞,4) U (5,∞)
(-∞,4] U (5,∞)

Answer 1

`(-\infty,4)\cup (5,\infty)`

Explanation:

From the number line, the solution to the inequality is x<4 or x>5.

We can write x<4 in interval notation as (-∞,4) and x>5 as (5,∞).

The "or" represents the union of the two intervals.

Therefore the solution to the given inequality in interval notation is:

`(-\infty,4)\cup (5,\infty)`

The third choice is the correct answer.