Understanding Inequalities with Ordered Pairs

The video tutorial explains how to determine if ordered pairs are solutions to a given inequality. It involves substituting the x and y values from each ordered pair into the inequality and checking if the resulting statement is true. The tutorial evaluates four different ordered pairs, demonstrating the substitution and simplification process for each. The first and fourth pairs are not solutions, while the second and third pairs satisfy the inequality. The video aims to help viewers understand the process of testing ordered pairs against inequalities.

What is the first step in determining if an ordered pair is a solution to an inequality?

• Graph the inequality

• Check if the ordered pair is in the first quadrant

• Substitute the ordered pair into the inequality

• Solve the inequality for y

When substituting the ordered pair (-3, 2) into the inequality, what is the result of the left side?

• -6

• 0

• -12

• 6

Why is the ordered pair (-3, 2) not a solution to the inequality?

• The inequality becomes a false statement

• The inequality is not defined for negative numbers

• The ordered pair is not in the solution set

• The ordered pair is not in the first quadrant

What is the result of substituting the ordered pair (-1, -3) into the inequality?

• The inequality is undefined

• The inequality becomes true

• The inequality results in zero

• The inequality becomes false

What is the value of the left side of the inequality after substituting (-1, -3)?

• 7

• 11

• 5

• 9

What is the result of substituting the ordered pair (0, -2) into the inequality?

• The inequality becomes false

• The inequality is undefined

• The inequality becomes true

• The inequality results in zero

Why is the ordered pair (0, -2) a solution to the inequality?

• The inequality is defined for zero

• The inequality becomes a true statement

• The ordered pair is in the solution set

• The ordered pair is in the first quadrant

What is the result of substituting the ordered pair (8, 4) into the inequality?

• The inequality becomes true

• The inequality becomes false

• The inequality results in zero

• The inequality is undefined

What is the value of the left side of the inequality after substituting (8, 4)?

• 8

• 6

• 4

• 2

Why is the ordered pair (8, 4) not a solution to the inequality?

• The inequality is not defined for positive numbers

• The ordered pair is not in the first quadrant

• The ordered pair is not in the solution set

• The inequality becomes a false statement