What does the symbol $$\leq$$ mean in an inequality?

The symbol $$\leq$$ means 'less than or equal to', indicating that the value can be less than or equal to a certain number.

What does the symbol $$\geq$$ mean in an inequality?

The symbol $$\geq$$ means 'greater than or equal to', indicating that the value can be greater than or equal to a certain number.

What is the solution set of a linear inequality?

The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality, represented graphically as a shaded region on the coordinate plane.

What is the significance of the slope in a linear equation?

The slope of a linear equation indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

What is the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation $$y = mx + b$$ , where $$b$$ is the y-intercept.

How do you identify a solution to a linear inequality?

A solution to a linear inequality can be identified by checking if the ordered pair satisfies the inequality when substituted into it.

What is a system of linear inequalities?

A system of linear inequalities consists of two or more linear inequalities that are considered together, and the solution is the region where their graphs overlap.

What does it mean for a line to be 'broken' in graphing?

A 'broken' line in graphing indicates that the line does not include the points on it, used for inequalities with .

What is the graphical representation of the inequality $$x + 2y \geq 4$$ ?

The graphical representation of the inequality $$x + 2y \geq 4$$ includes a solid line for the equation $$x + 2y = 4$$ and the region above the line.

How do you solve a system of linear inequalities graphically?

To solve a system of linear inequalities graphically, graph each inequality, shade the appropriate regions, and identify the overlapping shaded area as the solution.

Linear Equation & Inequality in Two Variables Flashcard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear equation in two variables?

Back

2.

FLASHCARD QUESTION

Front

What is a linear inequality in two variables?

Back

3.

FLASHCARD QUESTION

Front

How do you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation, plot them on a coordinate plane, and draw a straight line through these points.

4.

FLASHCARD QUESTION

Front

What is the difference between a solid line and a broken line in graphing inequalities?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

How can you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution to a system of inequalities, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

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