IM1 Section 4.6 Linear Inequality Applications

Which inequality is represented by the words "less than"?

• <
• >
• ≤
• ≥

Which inequality is represented by the words " more than"?

• <
• >
• ≤
• ≥

Which inequality is represented by the words " at least"?

• <
• >
• ≤
• ≥

Which inequality is represented by the words " no more than" or "at most"?

• <
• >
• ≤
• ≥

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

To order from the kids menu a person must be no more than 12 years old.

• x > 12
• x < 12
• x ≥ 12
• x  ≤ 12

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 

• 15h ≤ 105
• 15h > 105
• 15h < 105
• 15h ≥ 105

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Define the variable.

• let x = Ruby

• let x = the number of weeks to reach her goal

• let x = her monthly allowance

• let x = her savings account

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Write the inequality to the problem.

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Solve the inequality/answer the question.

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28