Linear Inequality Two Variable Word Problems

Which of the following inequalities matches the graph?

• y < -4x - 1

• y > -4x - 1

• y ≤ -4x - 1

• y ≥ -4x - 1

Which of the following inequalities matches the graph?

• y ≤ 3/4x + 5

• y ≥ 3/4x + 5

• y < 3/4x + 5

• y > 3/4x + 5

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

What does dashed line mean when graphing two variable inequality?

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Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Solve the inequality/answer the question.

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

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

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of at least $550? Write the inequality to the problem.

• 0.04x+300 ≥ 550

• 0.04x+300≤ 550

• 4x+300 ≥ 550

• 4x+300 ≤ 550

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of at least $550?
Solve the inequality/answer the question.

• x ≥ $6250

• x ≤ $6250

• x ≥ $62.50

• x ≤ $62.50