Understanding Linear Inequalities

What is the standard form of a linear inequality in two variables?

• ax + by < 0

• ax + by = 0

• ax + by > c

• ax + by = c

Which symbol is used to represent 'greater than or equal to' in inequalities?

• ≥

• >

• ≤

• <

How can you identify a linear equation from a linear inequality?

• By checking if it has an equal sign

• By checking if it has a greater than sign

• By checking if it has a less than sign

• By checking if it has a plus sign

Which of the following is an example of a linear inequality?

• x + 2y = 0

• x + 2y = 5

• x + 2y > 5

• x + 2y < 0

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

• Evaluate the inequality using the ordered pair

• Multiply the values

• Subtract the values

• Add the values

If an ordered pair makes the inequality statement true, what does it mean?

• The ordered pair needs to be recalculated

• The ordered pair is not a solution

• The ordered pair is a solution

• The ordered pair is incorrect

What does it mean if the inequality statement is false for an ordered pair?

• The ordered pair is a solution

• The ordered pair is not a solution

• The ordered pair is correct

• The ordered pair needs to be recalculated

Which ordered pair is a solution to the inequality y ≤ 3x + 6?

• (2, -6)

• (-7, 4)

• (0, 0)

• (1, 1)

What is the result of evaluating the ordered pair (2, -6) in the inequality y ≤ 3x + 6?

• False, because -6 > 12

• False, because -6 < 12

• True, because -6 ≤ 12

• True, because -6 = 12

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