Inequalities

The video tutorial introduces inequalities, explaining their symbols and how they compare quantities. It demonstrates solving inequalities through examples, such as f + 3 < 9 and x + 5 > 12, by substituting variables with possible values to find solutions. The tutorial also covers solving x + 5 ≤ 8, emphasizing isolating the variable and performing operations on both sides of the inequality. The video concludes with encouragement for students to continue practicing inequalities.

What is an inequality in mathematics?

• A mathematical sentence that only uses addition and subtraction.

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

• A mathematical sentence that only uses multiplication and division.

• A mathematical sentence that shows equality between two expressions.

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

• 6

• 7

• 5

• 8

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

• 3

• 6

• 9

• 12

What is the opposite operation of addition when solving inequalities?

• Subtraction

• Division

• Multiplication

• Exponentiation

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

• 2

• 5

• 3

• 4

Which of the following is NOT a possible value for x in the inequality x + 5 ≤ 8?

• 4

• 3

• 1

• 0

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

• Perform the same operation on both sides.

• Only add numbers to one side.

• Subtract numbers from one side only.

• Multiply both sides by different numbers.