How to Solve an Inequality Problem

Which inequality shows a value between and including 1.9 and 2.1?

A. x >= 2.10
B. x < 1.9
C. 1.90<= x <= 2.10
D. 2.1 <= x<= 1.9

Answer: C.

Answer:

The correct inequality that shows a value between and including 1.9 and 2.1 is option C: 1.90<= x <= 2.10.

To solve an inequality problem like the one given, you need to carefully analyze the range of values mentioned and choose the correct mathematical expression that fits the criteria.

In this case, the question states that x has a value in between and including 1.9 and 2.1. This means that x must be greater than or equal to 1.9 and less than or equal to 2.1.

Option A, x >= 2.10, does not satisfy the condition mentioned as it only includes values greater than or equal to 2.10. Option B, x < 1.9, is completely out of range as it includes values less than 1.9.

Option D, 2.1 <= x <= 1.9, also does not fit the criteria as it includes values greater than or equal to 2.1 but less than or equal to 1.9, which is not possible.

Therefore, option C, 1.90<= x <= 2.10, is the correct inequality that represents the given range of values. It includes values greater than or equal to 1.9 and less than or equal to 2.1, satisfying the conditions mentioned in the question.

When solving such problems, always carefully examine the given range and choose the inequality that accurately represents the conditions specified.