Solutions of Inequalities Algebra

• x=-3

• x=-2
  

• x=-1

• x=0
  

• x=1

• x=3

• x=1

• x=2

• x=0

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The principal of a school is hosting a small luncheon for her staff. She plans to prepare two sandwiches for each person. Some staff members offer to bring salads and beverages. The principal has a budget of $225 and expects at least 16 people to attend. Sandwiches cost $3 each.

Select all of the equations and inequalities that could represent the constraints in the situation, where n is number of people attending and is number s of sandwiches.

• s=2n

• x=5

• x=2

A cell phone company offers two texting plans. People who use plan A pay 10 cents for each text sent or received. People who use plan B pay 12 dollars per month, and then pay an additional 2 cents for each text sent or received.

Select the correct inequality to represent the fact that it is cheaper for someone to use plan A than plan B.

Diego’s goal is to walk more than 70,000 steps this week. The mean number of steps that Diego walked during the first 4 days of this week is 8,019.

Write an inequality that expresses the mean number of steps that Diego needs to walk during the last 3 days of this week to walk more than 70,000 steps.

• She should have divided by 20.

• Her answer should be positive 5.

• She forgot to flip her inequality sign.

• She did it correctly.

• Lin can substitute numbers greater than 1 to see if they work.

• Lin can substitute numbers less than 1 to see if they work.

• Lin can substitute numbers greater than and less than 1 to see if which ones work.

• Lin could guess.