Inequalities

Mr. Addit introduces inequalities, explaining their symbols and how to solve them by isolating variables. He provides examples, such as solving f + 3 < 9 and x + 5 > 12, demonstrating how to test possible solutions. The video also covers solving x + 5 ≤ 8, emphasizing the importance of performing operations on both sides of the inequality. The lesson concludes with encouragement to continue practicing.

What is an inequality in mathematics?

• A mathematical concept that deals with shapes and angles.

• A mathematical operation that involves addition and subtraction.

• A mathematical sentence that compares quantities using symbols like <, >, ≤, or ≥.

• A mathematical sentence that shows equality between two expressions.

Which value of f makes the inequality f + 3 < 9 true?

• 5

• 7

• 6

• 8

For the inequality x + 5 > 12, which value of x is a solution?

• 9

• 6

• 3

• 5

What is the opposite operation of addition when solving inequalities?

• Exponentiation

• Multiplication

• Division

• Subtraction

If x + 5 ≤ 8, what is the maximum possible value of x?

• 4

• 3

• 5

• 2

Which of the following numbers is not a solution for x in the inequality x + 5 ≤ 8?

• 1

• 4

• 3

• 0

What must you remember to do when performing operations on both sides of an inequality?

• Multiply both sides by different numbers.

• Only add numbers to one side.

• Perform the same operation on both sides.

• Subtract numbers from one side only.