Compound Inequalities and Their Solutions

The video tutorial explains how to solve a compound inequality consisting of two inequalities connected by 'and'. It demonstrates solving each inequality separately, graphing their solutions, and interpreting the results. The tutorial highlights that the solution to the compound inequality is the intersection of the solutions to the individual inequalities. In this case, there is no intersection, indicating no solution to the compound inequality.

What does the word 'AND' signify in a compound inequality?

• Union of solutions

• Sum of solutions

• Intersection of solutions

• Difference of solutions

What is the first step in solving the inequality 2X - 3 < -3?

• Divide both sides by 2

• Multiply both sides by 2

• Add 3 to both sides

• Subtract 3 from both sides

After solving 2X - 3 < -3, what is the solution for X?

• X > 0

• X < 0

• X ≥ 0

• X = 0

What must you remember when dividing both sides of an inequality by a negative number?

• Add a constant to both sides

• Reverse the inequality symbol

• Subtract a constant from both sides

• Keep the inequality symbol the same

What is the solution for X after solving -4X - 2 < -14?

• X ≤ 3

• X > 3

• X < 3

• X = 3

What does an open point on a number line indicate?

• The value is the only solution

• The value is not included in the solution

• The value is included in the solution

• The value is a boundary

What is the result when there is no intersection between two intervals in a compound inequality?

• There is no solution

• The solution is zero

• There is a solution

• The solution is infinite

What does it mean if a compound inequality has no solution?

• No values satisfy the inequality

• All values satisfy the inequality

• The inequality is invalid

• Some values satisfy the inequality

What should be done to the graph if there is no solution to the compound inequality?

• Ignore the graph

• Highlight the graph

• Clear the graph

• Include the graph as the solution

What is the final conclusion about the compound inequality in the video?

• It has no solution

• It has a solution

• It has multiple solutions

• It is unsolvable