Final Answer:
1) The correct answer is: C) Four
2) The correct answer is: C) Less than or equal to
3) The options provided do not accurately describe the process of isolating the variable.
4) The correct answer is: D) None of the above.
Step-by-step explanation:
To answer these questions, we will consider the concepts of inequalities and the operations associated with them.
Question 1: How many signs can be used to mark an inequality?
To express inequalities, we can use several different signs. The signs that are commonly used are:
- Less than (<)
- Greater than (>)
- Less than or equal to (≤)
- Greater than or equal to (≥)
This gives us a total of four different signs used to mark inequalities.
So, the correct answer is:
C) Four
Question 2: In the context of inequalities, what does the symbol "≤" represent?
The symbol "≤" is used to represent the relationship between two values where one is less than or equal to the other. This means that the value on the left side of the "≤" symbol is either less than or exactly equal to the value on the right side.
Therefore, the correct answer is:
C) Less than or equal to
Question 3: What does it mean to isolate the variable in an inequality?
Isolating the variable in an inequality means manipulating the inequality so that the variable is on one side by itself, and everything else is on the other side of the inequality sign.
This allows us to see the range of values the variable can take. It involves performing operations such as addition, subtraction, multiplication, or division to both sides of the inequality to achieve this goal.
The options provided do not accurately describe the process of isolating the variable.
Option A (Evaluate the coefficient) typically involves finding the numerical factor that multiplies the variable, rather than isolating it.
Option B (Reverse the inequality sign) happens only when you multiply or divide by a negative number, which isn't necessarily part of isolating the variable.
Option C (Get zero by itself on one side of the inequality sign) is more aligned with solving equations, not inequalities.
Hence, the correct answer is:
D) None of the above.