Understanding Linear Inequalities

The video tutorial introduces graphing linear inequalities, explaining what constitutes a solution. It provides examples of solving inequalities by substituting values into equations to verify if they satisfy the inequality. The tutorial concludes with a practice problem for viewers to solve independently.

What is the first step in graphing linear inequalities?

• Finding the slope

• Calculating the x-intercept

• Understanding the solution set

• Identifying the y-intercept

What does a solution to a linear inequality represent?

• A single number

• An ordered pair

• A line

• A graph

What is the purpose of substituting values into a linear inequality?

• To determine if the inequality is true

• To find the slope

• To graph the inequality

• To find the intercepts

In the inequality 4x - 5y ≥ 12, what happens when x = 5 and y = -1?

• The inequality is not satisfied

• The inequality is satisfied

• The inequality becomes an equation

• The inequality is undefined

What is the result of substituting x = 5 and y = -1 in the inequality 4x - 5y ≥ 12?

• 25

• 20

• 30

• 15

What does the inequality 4x - 5y ≥ 12 become when x = 5 and y = -1?

• 4x - 5y = 25

• 4x - 5y > 12

• 4x - 5y < 12

• 4x - 5y = 12

In the inequality 3x - 2y ≥ 12, what is the result when x = 3 and y = -2?

• 11

• 14

• 12

• 13

What is the sum of 3 times 3 and -2 times -2 in the inequality 3x - 2y ≥ 12?

• 13

• 9

• 10

• 12

What is the inequality 3x - 2y ≥ 12 used to demonstrate?

• How to graph the inequality

• How to check if an ordered pair is a solution

• How to solve for y

• How to find the slope

What is the result of 3 times 3 in the inequality 3x - 2y ≥ 12?

• 6

• 9

• 12

• 15