Solving and Graphing Compound Inequalities

What is the learning target for this lesson?

• I can solve and graph compound inequalities that describe a union.

• I can solve and graph simple inequalities.

• I can solve and graph quadratic equations.

• I can solve and graph linear equations.

In a truth table, when are 'p and q' both true?

• When p is true and q is false.

• When both p and q are true.

• When both p and q are false.

• When either p or q is true.

What does the intersection in compound inequalities represent?

• The area where either condition is true.

• The difference between two sets.

• The area where both conditions are true.

• The union of two sets.

How can you tell graphically that an inequality is an 'and' inequality?

• By the space in between the endpoints.

• By the empty circles at the endpoints.

• By the arrows pointing in the same direction.

• By the filled circles at the endpoints.

Which of the following is a correct way to write a compound inequality?

• x > 2 or x < 6

• 2 < x < 6

• x > 2 and x < 6

• x < 2 or x > 6

What is the first step in solving the compound inequality 4 ≤ x + 2 ≤ 8?

• Subtract 2 from all sides.

• Multiply all sides by 2.

• Divide all sides by 2.

• Add 2 to all sides.

When graphing the solution to a compound inequality, what do filled circles represent?

• Values that are included.

• The midpoint of the graph.

• Values that are not included.

• The endpoints of the graph.

What is the solution to the inequality -4 < x ≤ 2?

• x is between -4 and 2, including both -4 and 2.

• x is between -4 and 2, excluding both -4 and 2.

• x is between -4 and 2, including 2 but not -4.

• x is between -4 and 2, including -4 but not 2.

How would you write the compound inequality for all real numbers greater than or equal to 0 and less than 6?

• 0 ≤ x < 6

• 0 ≤ x ≤ 6

• 0 < x < 6

• 0 < x ≤ 6

What is the correct way to write the compound inequality for the range 7.2 to 7.6, inclusive?

• 7.2 < x < 7.6

• 7.2 ≤ x < 7.6

• 7.2 ≤ x ≤ 7.6

• 7.2 < x ≤ 7.6