Question

When solving a compound inequality. Micah wrote the solution as x> or equal to 50 OR x>or equal to 75. What is a simpler way of writing this compound inequality?

2Points

Answer the question with an an inequality.

Answer 1

The best way of writing this answer in an inequality pattern is 50 ≤ x ≥ 70

Explanation:

The variable "x" is said to be greater than or equal to 50, that means that x could be 50, 51, 52, 53, 54......to infinity, all these values are true for x.

The second solution said x is greater or equal to 70. This also means that x could be 70, 71, 72, 73, ......... to infinity.

The inference that can be drawn from here is that x actually started from 50, so anything lesser than 50 is lesser than x, so 50 ≤ x. We can join the two answers together to get a range in a form like: 50 ≤ x ≥ 70