Exploring Multistep Inequalities

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

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 13 from both sides

• Add 13 to both sides

What value does the fraction 15 + 4a / 7 need to be less than?

• 24

• 37

• 61

• 259

How do you verify the solution for 'a' using a calculator?

• Check if 15 + 4 * 61 / 7 - 3 equals 24

• Check if 15 + 4 * 59 / 7 - 3 equals 24

• Check if 15 + 4 * 60 / 7 - 3 equals 24

• Check if 15 + 4 * 62 / 7 - 3 equals 24

In the second example, what must the value of 'C' be to balance with 34?

• 27

• 34

• 51

• 31

What is the correct direction for the inequality symbol when solving for 'C'?

• Greater than or equal to

• Less than or equal to

• Greater than

• Less than

What happens to the inequality symbol when you multiply or divide both sides by a negative number?

• It stays the same

• It reverses direction

• It becomes an equal sign

• It becomes undefined

In the third example, what is the value of 'h' after solving the inequality?

• 45

• 62

• 15

• 19

What is the special rule to remember when solving inequalities involving negative numbers?

• Always subtract the negative number from both sides

• Always add the negative number to both sides

• Always multiply the negative number to both sides

• Always reverse the direction of the inequality symbol

In the final example, what is the correct value of the variable after solving the inequality?

• 40

• 32

• 8

• 41

What should you do if you are unsure about the direction of the inequality symbol?

• Guess the direction

• Check your answer with a calculator

• Ask a friend

• Ignore it