Algebra 1 - Several Assignments I need help with

Lesson 4

1. Solve the inequality:

6 − 𝑥

𝑥 ≥ 23

2. Solve the inequality and graph:

1.25 + 𝑑 ≤ 5.75

Algebra I, First Semester Name: __________________________

4. Solve the inequality and graph, if possible. If it is no solution, write “no

solution”. If it is all real numbers, write “all real numbers”.

4(3s – 8) > 2(s + 3)

5. Solve the inequality and write your answer in set-builder notation and in

roster form.

-3(4r + 8) + 1 < -23 – 11r

3. Solve the inequality and graph:

5 < − 5

9 𝑎

7. Write the interval as an inequality and graph.

(-∞, -6] or (3, ∞)

6. Solve the compound inequality and graph on a number line. 4𝑤+2

5 − 5 > 3 or

4−3𝑤

6 ≥ 4

9. If A = {-3, -1, 0, 1, 3}, B = {x | x is an odd number between 0 and 10} and

C = {0, 1, 2, 3, 4}

Find A U C

10. If A = {-3, -1, 0, 1, 3}, B = {x | x is an odd number between 0 and 10} and

C = {0, 1, 2, 3, 4}

Find A ꓵ B

8. Solve the inequality. If there is no solution, write “no solution”.

4 – 3|y + 2| > -14