Question

Write an inequality comparing the rational numbers - and - 2.

A) x < -2
B) x > -2
C) x ≤ -2
D) x ≥ -2

Answer 1

The inequality x < -2 indicates that the variable x represents all values less than -2, which is the relationship being sought.

Step-by-step explanation:

The question is asking to write an inequality comparing the rational numbers and to determine if a certain value x is less than, equal to, or greater than -2. When comparing rational numbers, we use inequality symbols to show their relationship. In this case, we are looking for the inequality that correctly expresses the relationship between x and -2.

If x were -2 exactly, we would use the 'equal to' symbol. However, without additional context suggesting that x is exactly -2, we typically consider whether x is either less than or greater than -2. If we assume that x represents all values less than -2, then the correct inequality would be x < -2.