Solving Compound Inequalities

What does the 'or' statement imply in compound inequalities?

• The inequalities move in opposite directions.

• The inequalities are connected.

• The inequalities move in the same direction.

• The inequalities have no solution.

How do you solve the inequality x - 4 < -7?

• Add 4 to both sides.

• Multiply both sides by 4.

• Divide both sides by 4.

• Subtract 4 from both sides.

What is the solution to the inequality 2x ≥ 12?

• x ≥ 6

• x ≤ 6

• x > 6

• x < 6

In an 'or' statement, what does it mean if the solutions are on the outside?

• There is no solution.

• Everything in the middle is a solution.

• The solutions are connected.

• Everything in the middle is not a solution.

What does the 'and' statement imply in compound inequalities?

• The inequalities come together.

• The inequalities move in opposite directions.

• The inequalities move in the same direction.

• The inequalities are connected.

How do you solve the inequality 2 ≤ x + 4 < 9?

• Multiply all sides by 4.

• Divide all sides by 4.

• Subtract 4 from all sides.

• Add 4 to all sides.

What is the solution to the inequality -1 < 2/3x + 1 ≤ 5?

• x is between -3 and 6

• x is between -3 and 5

• x is between -2 and 4

• x is between -1 and 5

How do you solve the inequality -2 < 2(x - 6) ≤ 4?

• Add 6 to all sides.

• Divide all sides by 2.

• Subtract 6 from all sides.

• Multiply all sides by 2.

What is the solution set for the inequality -2 < 2x - 12 ≤ 4?

• x is between 2 and 5

• x is between 4 and 7

• x is between 5 and 8

• x is between 3 and 6

In an 'and' statement, where does the solution set lie?

• There is no solution

• In the middle

• On the outside

• The solutions are connected