Solving Compound Inequalities Effectively

What is a compound inequality?

• An inequality that cannot be graphed

• An inequality with only one variable

• An inequality that combines two or more inequalities using 'and' or 'or'

• An equation with two variables

How do 'or' inequalities typically graph?

• They graph apart

• They graph together

• They graph as a single line

• They do not graph

What is the interval notation for x < -3 or x ≥ 6?

• (-∞, -3] ∪ [6, ∞)

• (-∞, -3) ∪ (6, ∞)

• (-∞, -3] ∪ (6, ∞)

• (-∞, -3) ∪ [6, ∞)

When solving 'and' inequalities, what part of the graph do you use?

• None of the above

• The part where the graphs do not overlap

• The part where the graphs overlap

• The entire number line

How can you write x ≥ -6 and x ≤ 1 in a more condensed form?

• -6 ≥ x ≥ 1

• x ≤ -6 and x ≥ 1

• -6 ≤ x ≤ 1

• x ≥ -6 or x ≤ 1

What is the first step in solving the inequality 2 < x + 4 < 9?

• Multiply all parts by 4

• Subtract 4 from all parts

• Divide all parts by 4

• Add 4 to all parts

What is the interval notation for -2 ≤ x < 5?

• [-2, 5]

• (-2, 5)

• [-2, 5)

• (-2, 5]

How do you solve the inequality -27 < 7x - 13 < 21?

• Add 13 to all parts, then divide by 7

• Multiply all parts by 7, then add 13

• Subtract 13 from all parts, then divide by 7

• Divide all parts by 7, then add 13

What is the reciprocal of 2/3?

• 1/2

• 3

• 2/3

• 3/2

What is the interval notation for -3 < x ≤ 6?

• (-3, 6]

• [-3, 6)

• (-3, 6)

• [-3, 6]