Question

Solve the inequality 6x+1<5x−8.

Answer 1

Shantel offers online tutorial services. She charges $25.00 an hour per student. Her budget tracker reflects a total of $3,200.00 monthly expenses. How many hours must Shantel work each month to earn a monthly profit of at least $600.00?

Answer 2

La’Shondra solves the inequality 6+3x≤24. She begins by subtracting 6 from both sides of the inequality and then divides both sides of the equivalent inequality by a number. What is the number?

Answer 3

Solve the inequality Rx>10, where R is a number greater than 0.

Answer 4

Solve the inequality Ay+3<12, where A is a number greater than 0.

Answer 5

Jorelle is planning a 5-day vacation. The trip will cost him $1,300.00 for airfare, food, and itineraries. He plans to stay in a hotel room for $80.00 per night. He only has $950.00 in savings, but he earns $25.00 per hour from his online tutoring services. Create a linear inequality in one variable that would best translate the problem. Determine the minimum number of hours Jorelle must tutor so he can have enough money for the trip.(1 point)
Responses

A) 950+25x≤1,700; at most 30 hours

B) 950+25x≤1,300; at most 14 hours


C)950+25x≥1,300; at least 14 hours


D) 950+25x≥1,700; at least 30 hours

Answer 6

Mary Ann solves the inequality −3x≥12. Justify the steps Mary Ann takes to find the solution set.(1 point)
Responses

A) Mary Ann divides both sides of the inequality by −3 to get x≥−4.


B) Mary Ann adds −3 to both sides of the inequality and changes the inequality symbol to ≤ to get x≤9.


C) Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.


D) Mary Ann adds −3 to both sides of the inequality to get x≥9.

Answer 7

Solve Linear Inequalities Quick Check
3 of 53 of 5 Items
Question
Kirk solves the inequality 5<12y−7. Which statement explains the steps he uses to find the solution set of the inequality?(1 point)
Responses

A) Kirk adds 7 to both sides of the inequality, then divides both sides of the equivalent inequality by 12 and reverses the inequality symbol to get 1>y.


B) Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1<y.


C) Kirk adds 7 to both sides of the inequality and then multiplies both sides of the equivalent inequality by 12 to get 144<y.


D) Kirk adds −7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get (−16)<y.

Answer 8

Which of the following shows how to solve the linear inequality with a letter coefficient Hy<7, where H is a number greater than 0?(1 point)
Responses

A) Hy<7


B) y<7


C) y<7H


D) y<7H

Answer 9

Which term in the following inequality is a letter coefficient? Bx+72<12(1 point)
Responses

A) B


B) x


C) 72


D) Bx