Solving Linear Inequalities

0 < x + 7 < 9

• -7

• -7

• -7>x and x>2

• -7>x or x>2

A freight elevator can hold a maximum weight of 3,500 pounds. A delivery person weighs 200 pounds. They are delivering cartons that each weigh 48 pounds. They want to know how many cartons they can safely put on the elevator at one time. Let c represent the number of cartons. Write an inequality that represents this situation.

Lars meets both of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

Which of the following equations match the given graph?

• y ≥ (2/5)x + 1

• y ≥ (-2/5)x + 1

• y ≤  (2/5)x + 1

• y ≥ (-2/5)x - 1

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

Which of the following inequalities matches the given graph?

• y ≤ -5/4 x + 3

• y ≥ -5/4 x + 3

• y < -5/4 x + 3

• y > -5/4 x + 3

• A

• B

• C

• D