Understanding Compound Inequalities with 'Or'

In this video, Mr. J explains how to solve compound inequalities involving 'or'. He provides two examples: the first involves solving 6Y < 30 or 4Y + 10 > 54, and the second involves solving X + 5 < 3 or -2X - 4 <= -18. Each inequality is solved separately, and the solutions are combined to form a compound inequality. The video emphasizes that a solution is valid if either inequality is true, and it concludes with a summary of the process.

What is the first step in solving a compound inequality involving 'or'?

• Multiply the inequalities.

• Add the inequalities.

• Solve each inequality separately.

• Solve both inequalities together.

How do you isolate the variable Y in the inequality 6Y < 30?

• Subtract 6 from both sides.

• Multiply both sides by 6.

• Divide both sides by 6.

• Add 6 to both sides.

What is the solution for the inequality 4Y + 10 > 54?

• Y > 5

• Y < 5

• Y > 11

• Y < 11

In a compound inequality involving 'or', when is the solution true?

• When neither inequality is true.

• When both inequalities are true.

• When both inequalities are false.

• When at least one inequality is true.

What is the first step to solve the inequality X + 5 < 3?

• Divide both sides by 5.

• Multiply both sides by 5.

• Subtract 5 from both sides.

• Add 5 to both sides.

How do you handle the inequality -2X - 4 <= -18?

• Add 4 to both sides.

• Subtract 4 from both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

What happens to the inequality sign when you divide both sides by a negative number?

• It stays the same.

• It flips direction.

• It becomes an equal sign.

• It disappears.

What is the solution for the inequality -2X <= -14?

• X > 7

• X < 7

• X >= 7

• X <= 7

What is the compound inequality solution for X + 5 < 3 or -2X - 4 <= -18?

• X <= -2 or X >= 7

• X < -2 or X >= 7

• X < -2 or X > 7

• X <= -2 or X > 7

Which of the following is a solution to the compound inequality X < -2 or X >= 7?

• X = -3

• X = 6

• X = 0

• X = 5