Identifying Solutions to Linear Inequalities

The video tutorial explains how to determine if given ordered pairs are solutions to a linear inequality in two variables. It involves substituting the x and y values into the inequality and checking if the resulting statement is true. The tutorial goes through four points, demonstrating the process of substitution and evaluation for each, and concludes which points satisfy the inequality.

What is the main goal when identifying solutions to a linear inequality in two variables?

• To solve for X and Y separately

• To determine if ordered pairs satisfy the inequality

• To find the exact values of X and Y

• To graph the inequality

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

• Solve for Y

• Graph the inequality

• Find the slope of the line

• Substitute the X and Y values into the inequality

When checking the point (-9, -2), what is the result of 4 times -9?

• 18

• -36

• 36

• -18

For the point (-9, -2), what is the result of -6 times -2?

• -12

• 12

• -18

• 18

Why is the point (-9, -2) not a solution to the inequality?

• Because -24 is greater than -18

• Because -24 is not a number

• Because -24 is less than -18

• Because -24 equals -18

What is the result of 4 times 5 when checking the point (5, -3)?

• 15

• 20

• 25

• 30

For the point (5, -3), what is the result of -6 times -3?

• 12

• -12

• 18

• -18

Why is the point (5, -3) a solution to the inequality?

• Because 38 is greater than -18

• Because 38 equals -18

• Because 38 is not a number

• Because 38 is less than -18

What is the result of 4 times 0 when checking the point (0, 3)?

• 0

• 4

• 3

• -3

For the point (0, 3), what is the result of -6 times 3?

• -12

• 18

• 12

• -18