What Do You Know About Inequalities (Systems & Graphs)?

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| By Livyn
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It's a mathematical topic that's pretty simple to comprehend. At least we think so! In light of that, how about some quizzes to tease your brain with?

Questions and Answers
• 1.

What do you know about the definition?

• A.

Graphs are used to show the solutions

• B.

There are three axes

• C.

All solutions must be zero

• D.

There's no need for any axis.

Correct Answer
A. Graphs are used to show the solutions
Explanation
The correct answer is "Graphs are used to show the solutions." This answer is correct because graphs are commonly used to visually represent solutions or relationships between variables. Graphs provide a clear and concise way to display data and make it easier to interpret and analyze the information. By plotting points and connecting them with lines or curves, graphs help to illustrate patterns, trends, and solutions in a visual format.

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• 2.

How many axis/axes do you need at the basic level?

• A.

5

• B.

1

• C.

2

• D.

4

Correct Answer
C. 2
Explanation
At the basic level, you need two axes. Axes refer to the imaginary lines that are used to define the position and movement of objects in space. In a two-dimensional coordinate system, there are two axes - the x-axis and the y-axis. These axes intersect at a point called the origin and are used to locate points on a plane. Therefore, at the basic level, two axes are required to describe the position and movement of objects.

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• 3.

What's the function of the boundary line?

• A.

It acts as the boundary of the Y-axis only

• B.

It divides the plane into half planes

• C.

It's the first answer after calculating the axes

• D.

There's nothing like boundary line

Correct Answer
B. It divides the plane into half planes
Explanation
The boundary line in a plane divides it into half planes. This means that any point on one side of the boundary line will satisfy a certain inequality, while any point on the other side will satisfy the opposite inequality. Therefore, the boundary line plays a crucial role in defining and separating different regions or areas in the plane.

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• 4.

Which one is feasible under this topic?

• A.

• B.

• C.

>>=

• D.

=>

Correct Answer
B.
• 5.

How many points (i.e 2,0,5) does two axes need in inequalities?

• A.

3.5

• B.

1

• C.

3

• D.

2

Correct Answer
D. 2
Explanation
Two axes are needed in inequalities because inequalities involve two variables. Each axis represents one variable, so two axes are required to graph the relationship between the two variables. This allows us to visually represent the solution set of the inequality and determine the points that satisfy the inequality. Therefore, the correct answer is 2.

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• 6.

Which one means “Greater Than” in the following?

• A.

>

• B.

• C.

=

• D.

^

Correct Answer
A. >
Explanation
The symbol ">" means "greater than" in the given options. It is used to compare two values, indicating that the value on the left is greater than the value on the right.

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• 7.

What does “Greater Than” change to when you divide through by negative (minus)?

• A.

Less than

• B.

Remains greater than

• C.

Less than or equal to

• D.

Equal to

Correct Answer
A. Less than
Explanation
When you divide through by a negative number, the inequality sign changes direction. In this case, "Greater Than" changes to "Less than" because when you divide by a negative number, the inequality flips. For example, if we have 5 > -10 and we divide both sides by -1, it becomes -5 < 10. Thus, the correct answer is "Less than."

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• 8.

Do you think degrees are utilized when calculating inequalities at the lowest level?

• A.

Up to 360 degrees

• B.

Capped off at 180 degrees

• C.

None

• D.

Only when calculating the intersection box

Correct Answer
C. None
Explanation
Degrees are not utilized when calculating inequalities at the lowest level. Inequalities involve comparing two values or expressions using symbols such as greater than (>), less than (

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• 9.

Which point is shaded on the graph?

• A.

Opposite of the solution area

• B.

Solution area

• C.

No area

• D.

The Y-axis

Correct Answer
B. Solution area
Explanation
The correct answer is "Solution area." This means that the shaded point on the graph represents the area where the solution lies. In other words, it indicates the values or points that satisfy the given problem or equation.

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• 10.

Why is the solution area shaded?

• A.

I chose there's no shaded area already

• B.

To indicate that it's useless

• C.

To clearly identify which part is the solution

• D.

Aesthetic appeal only

Correct Answer
C. To clearly identify which part is the solution
Explanation
The solution area is shaded to clearly identify which part is the solution. By shading the solution area, it becomes visually distinct from the rest of the diagram or graph, making it easier for the viewer to identify and understand where the solution lies. This shading helps to highlight the relevant information and guide the reader's attention towards the intended solution.

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• Current Version
• Mar 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Jan 30, 2018
Quiz Created by
Livyn

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