Understanding Linear Inequalities

The video tutorial explains how to determine if an ordered pair satisfies an inequality. It introduces the inequality x + 2y > 6 and evaluates whether the ordered pair (-3, 6) satisfies it. The tutorial provides examples of true and false inequalities and demonstrates how to plug in x and y coordinates to evaluate the inequality. The final evaluation shows that the ordered pair satisfies the inequality.

What is the inequality discussed in the video?

• x + 2y = 6

• x + 2y > 6

• x + 2y < 6

• x - 2y > 6

Which ordered pair is being tested against the inequality?

• (-3, 6)

• (-3, -6)

• (3, -6)

• (3, 6)

What does it mean for an ordered pair to satisfy an inequality?

• The inequality becomes an equation.

• The inequality holds true when the pair is substituted.

• The inequality becomes false.

• The ordered pair is irrelevant.

Which of the following is a true inequality?

• -1 < -2

• -1 > 2

• 3 > 2

• 3 < 2

Which of the following is a false inequality?

• -1 > 2

• 3 > 2

• -2 < -1

• 2 > 1

What is the first step in evaluating if an ordered pair satisfies an inequality?

• Add the x and y values.

• Ignore the y value.

• Substitute the x and y values into the inequality.

• Multiply the x and y values.

What is the result of substituting x = -3 and y = 6 into the inequality x + 2y > 6?

• 9 > 6

• 6 > 9

• 0 > 6

• 9 < 6

What is the value of 2 times 6 in the context of the inequality?

• 12

• 14

• 10

• 8

What is the final value obtained after substituting the ordered pair into the inequality?

• 6

• 12

• 15

• 9

Why is the statement '9 is greater than 6' important in this context?

• It proves the inequality is an equation.

• It confirms the ordered pair satisfies the inequality.

• It indicates the ordered pair is incorrect.

• It shows the inequality is false.