一元一次不等式组的识别

Translation: Among the following systems of inequalities, the one that represents a system of linear inequalities in one variable is ( ).

Solution:

A system of linear inequalities in one variable is a set of inequalities where each inequality is a linear inequality in one variable. A linear inequality in one variable is an inequality that can be written in the form 'ax + b < c', 'ax + b > c', 'ax + b ≤ c', or 'ax + b ≥ c', where a, b, and c are real numbers and a ≠ 0.

Therefore, to determine which system of inequalities represents a system of linear inequalities in one variable, we need to check if each inequality in the system is a linear inequality in one variable. If all the inequalities are linear inequalities in one variable, then the system is a system of linear inequalities in one variable.

For example, the system 'x + 2 < 5' and '3x - 1 > 4' is a system of linear inequalities in one variable because both inequalities are linear inequalities in one variable.

Answer:

To answer the question, we need to examine the given systems of inequalities and determine if each inequality is a linear inequality in one variable. If all the inequalities in a system are linear inequalities in one variable, then that system is the correct answer.