Understanding Inequalities and Their Solutions

In this lesson, Mr. Hul explains mathematical symbols and inequalities, providing examples and exercises to determine the truth of equations and inequalities. The lesson includes substitution exercises and advanced problem-solving strategies to prepare students for algebra.

What does the symbol '>' represent in mathematics?

• Less than

• Greater than

• Equal to

• Less than or equal to

How can you remember the direction of the 'greater than' symbol?

• It is a straight line

• It is always on the left side of the equation

• It looks like an alligator's mouth eating the larger number

• It points towards the smaller number

If you substitute 3 for x in the equation 5 + x = 8, what is the result?

• True

• False

• Cannot be determined

• Depends on the value of x

What is the first step in solving the inequality 3G > 15?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

When substituting 8 for F in the inequality F/4 < 2, what is the outcome?

• True

• False

• Cannot be determined

• Depends on the value of F

What value of H makes the equation 4 = 8/H true?

• 8

• 1

• 2

• 4

In the inequality 3 > K + 1/4, what value of K makes it false?

• 4

• 3

• 2

• 1

What is the result of substituting 2.5 into the inequality 4.5 - D > 2.5?

• Depends on the value of D

• True

• False

• Cannot be determined

If P is less than 1/4, which of the following values for P makes the inequality 8 >= 32 * P true?

• 0

• 1/4

• 1/2

• 1

What is the correct value of B that makes the equation 18 <= 32 - B false?

• 16

• 13

• 14

• 15