Inequalities and Their Solutions

Maria Miller from Math Mammoth introduces inequalities, explaining their similarity to equations but with different signs. She demonstrates how to solve inequalities, plot solutions on a number line, and verify solutions. The video covers both simple and complex inequalities, emphasizing the principles of adding or subtracting numbers on both sides to maintain the inequality.

What is the main difference between an equation and an inequality?

• An equation has an equal sign, while an inequality has a less than or greater than sign.

• An equation has a less than sign, while an inequality has an equal sign.

• An equation has a greater than sign, while an inequality has a less than sign.

• An equation has a plus sign, while an inequality has a minus sign.

Which of the following is a true inequality?

• 0 is less than -1

• 5 is greater than 10

• 2 is less than 3

• 7 is equal to 7

What does the symbol '≥' represent in inequalities?

• Greater than or equal to

• Less than

• Less than or equal to

• Greater than

Which of the following is a false inequality?

• 5 is less than 10

• 3 is greater than 2

• 7 is equal to 7

• 0 is less than -1

Which of the following is a true inequality?

• 5 is greater than 4

• 0 is greater than 1

• 7 is less than 6

• 3 is less than 2

Which of the following is a false inequality?

• 7 is equal to 7

• 3 is greater than 2

• 0 is less than -1

• 5 is less than 10

If X is greater than or equal to -7, which of the following numbers is a solution?

• -10

• -8

• -9

• -7

How do we represent the solution of an inequality on a number line?

• With a dotted line

• With a zigzag line

• With a dashed line

• With a solid line

What does an open circle on a number line indicate?

• The number is a false solution

• The number is the only solution

• The number is not included in the solution set

• The number is included in the solution set

What does a closed circle on a number line indicate?

• The number is the only solution

• The number is not included in the solution set

• The number is included in the solution set

• The number is a false solution