(MCA) 6.2 (Practice) Compound Inequalities.

What is a compound inequality?

• A compound inequality is a single inequality that cannot be broken down.

• A compound inequality combines two or more inequalities using 'and' or 'or'.

• A compound inequality is an equation that has multiple variables.

• A compound inequality is a type of function that describes a relationship.

What does 'or' mean in a compound inequality?

• The solution set includes values that satisfy at least one of the inequalities.

• The solution set includes values that satisfy all of the inequalities.

• The solution set is empty and has no values.

• The solution set includes only the maximum value of the inequalities.

What is the solution set for the compound inequality x < -2 or x > 5?

• The solution set includes all values less than -2 and greater than 5.

• The solution set includes all values between -2 and 5.

• The solution set includes all values greater than -2 and less than 5.

• The solution set includes only the values -2 and 5.

How do you solve a compound inequality with 'and'?

• Find the intersection of the solution sets of the individual inequalities.

• Add the individual inequalities together to find a single solution.

• Solve each inequality separately and take the larger solution set.

• Use the union of the solution sets of the individual inequalities.

What is the solution set for the inequality -3x + 2 > 11 or -x - 5 < 7?

• x < -3 or x > 12

• x > -3 and x < 12

• -3 < x < 12

• x < -5 or x > 7

What is the solution set for the inequality 3x - 2 ≥ 10 and 4x + 1 < 25?

• x ≥ 3 and x < 5

• x ≥ 4 and x < 6

• x ≥ 5 and x < 7

• x ≥ 2 and x < 4

What is the difference between strict and non-strict inequalities?

• Strict inequalities include the endpoint, while non-strict inequalities do not.

• Strict inequalities do not include the endpoint, while non-strict inequalities do.

• Strict inequalities are always greater than, while non-strict inequalities can be equal.

• Strict inequalities can only be used with whole numbers, while non-strict inequalities can be used with decimals.

What does 'and' mean in a compound inequality?

• The solution set includes values that satisfy both inequalities.

• The solution set includes values that satisfy at least one inequality.

• The solution set includes values that do not satisfy either inequality.

• The solution set is empty and has no values.

What is the graphical representation of x > 2 or x ≤ -3?

• A number line with an open circle at 2 extending to the right and a closed circle at -3 extending to the left.

• A number line with a closed circle at 2 extending to the right and an open circle at -3 extending to the left.

• A number line with an open circle at 2 and a closed circle at -3, both extending to the right.

• A number line with a closed circle at 2 and a closed circle at -3, both extending to the left.

How do you solve a compound inequality with 'or'?

• Find the intersection of the solution sets of the individual inequalities.

• Find the union of the solution sets of the individual inequalities.

• Solve each inequality separately and ignore the results.

• Combine the inequalities into a single equation.