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

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

3.5

1

3

2

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.

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.

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

Less than

Remains greater than

Less than or equal to

Equal to

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

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

3) Which point is shaded on the graph?

Opposite of the solution area

Solution area

No area

The Y-axis

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.

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.

4) What's the function of the boundary line?

It acts as the boundary of the Y-axis only

It divides the plane into half planes

It's the first answer after calculating the axes

There's nothing like boundary line

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.

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.

5) What do you know about the definition?

Graphs are used to show the solutions

There are three axes

All solutions must be zero

There's no need for any axis.

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.

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.

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

5

1

2

4

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.

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.

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

Up to 360 degrees

Capped off at 180 degrees

None

Only when calculating the intersection box

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 (

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 (

8) Which one means "Greater Than" in the following?

>

=

^

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.

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.

9) Which one is feasible under this topic?

>>=

=>

not-available-via-ai

Explanation

not-available-via-ai

10) Why is the solution area shaded?

I chose there's no shaded area already

To indicate that it's useless

To clearly identify which part is the solution

Aesthetic appeal only

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.

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.