Inequalities / Assignment

Which of the following is the solution set of the problem?

(-infinite symbol , -3]

Which answer choice is a solution to the inequality ? -1 1 1.5 0

1.5

What is the fewest number of full weeks Briyana would have to work to have enough money?

10 weeks

Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.Let n = a number. Choose the inequality that represents the given relationship.

3(n - 2) Greater than symbol5n

Which numbers are solutions to the inequality 2x - 1 > x + 2? Check all of the boxes that apply.

4, 5

Briyana has $150, and she needs to save at least $560 for a spring break trip. If she can save $45 per week, how long will it take her to save enough money?Let w = weeks saving money. Write an inequality to describe the situation.

45w + 150 560

Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 -10.

C

If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions

Sample response: The value of c could be 5 or any number greater than 5. The solution is the intersection of both solution sets of the given inequalities. The solutions of the compound inequality must be solutions of both inequalities. A number cannot be both less than 5 and greater than 5 at the same time.

Identify the property used in each step of solving the inequality .

Step 2: Addition property Step 3: Multiplication property

Find the student's error in solving the following inequality.2 < -3x -4 < 56 < -3x < 5-2 > x > -5/3 The student should have added 4 to all parts (left, middle, and right) to get 6 < -3x < 9. The student divided 6/-3 incorrectly. The student should not have switched the direction of the sign in the final step.

The student should have added 4 to all parts (left, middle, and right) to get 6 < -3x < 9.

Find the student's error in solving the following inequality.31 < -5x + 625 < -5x-5 < x The student should have added 6 to both sides instead of subtracting it. The student divided 25/-5 incorrectly. The student should have switched the direction of the inequality sign to get -5> x for a final answer.

The student should have switched the direction of the inequality sign to get -5> x for a final answer.