Unit 2: Analyzing Linear Inequalities Fall 2024 Final Review

Front

What is a linear inequality?

Back

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed line (for < or >) or a solid line (for ≤ or ≥). Then, shade the region that satisfies the inequality.

Front

What does the solution set of a linear inequality represent?

Back

The solution set of a linear inequality represents all the points (x, y) that satisfy the inequality.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line. For example, the interval (2, 5) includes all numbers greater than 2 and less than 5.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, while remembering to reverse the inequality sign if you multiply or divide by a negative number.

Front

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

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).

Front

Back

Front

How do you write a system of linear inequalities?

Back

Front

What is the significance of the boundary line in a linear inequality?

Back

The boundary line separates the solution set from the non-solution set. Points on one side of the line satisfy the inequality, while points on the other side do not.

Front

How do you determine if a point is a solution to a linear inequality?

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is a solution.