Understanding Inequalities and Solutions

The video tutorial demonstrates how to determine which ordered pairs solve a given inequality by substituting values for x and y. The process involves testing several pairs: -2, -1; 0, 0; -2, 8; 1, 2; and 4, 2. The pairs -2, 8 and 4, 2 satisfy the inequality, while the others do not.

What is the first step in determining if an ordered pair solves an inequality?

• Find the slope of the inequality

• Convert the inequality to an equation

• Substitute the values of the ordered pair into the inequality

• Graph the inequality

What is the inequality used in the video?

• y = -2x + 2

• y < -2x + 2

• y > -2x + 2

• y ≤ -2x + 2

When substituting (-2, -1) into the inequality, what conclusion is reached?

• It is a partial solution

• It cannot be determined

• It is not a solution

• It is a solution

What operation is performed first when substituting values into the inequality?

• Division

• Addition

• Subtraction

• Multiplication

Why is the origin (0, 0) not a solution to the inequality?

• Because 0 is less than 2

• Because 0 equals 2

• Because 0 is greater than 2

• Because 0 is not greater than 2

What is the result of multiplying -2 by 0 in the inequality?

• -4

• 0

• -2

• 2

What makes (-2, 8) a valid solution to the inequality?

• 8 is greater than 3

• 8 is not comparable to 3

• 8 is less than 3

• 8 is equal to 3

What is the result of -2 multiplied by -2 in the inequality?

• 2

• 0

• 4

• -4

What is the result of substituting (1, 1) into the inequality?

• 1 is greater than 1

• 1 is less than 1

• 1 is not comparable to 1

• 1 is equal to 1

What is the sum of 1 and 2 in the context of the inequality?

• 4

• 2

• 1

• 3