Worksheet #3: Set Operations and Linear Inequalities | Highline College - Edubirdie

University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2022
Views:

164

Pages:

1
Author:

entutetzwfm

Workshop #3 1. Consider the sets A = {a, b, d} and B = {d, a, c} (a) Find the intersection of A and B, A ∩ B (b) Find the union of A and B, A ∪ B 2. Suppose that C is the set of all celebrities and D is the set of all people with August birthdays (a) Give an example of a person that would be in C ∩ D (b) Give an example of a person that would be in C ∪ D that is NOT in C ∩ D. 3. Given the set E = {x | x > 1} and F = {x | x ≤ 7} (a) Find the intersection of E and F , E ∩ F (b) Find the union of E and F , E ∪ F 4. Find a real number c such that c · (−2) < c · 1 is not true. 5. Solve the following inequalities. Write your solution as a graph, and in interval notation. (a) 4x − 7 < 2 3 1 1 (b) x > − x 2 2 3 2 1 (c) − x > 0 5 3 3 2 1− x ≤x (d) 3 7 6. Solve the following inequalities. Write your solution as a graph and in interval notation. (a) −2 < 3x < 9 (d) 2x + 3 < 9 or 3x − 2 ≥ 10 (b) x < 2 or x > 5 (e) 2x + 3 < 9 and 3x − 2 ≥ 10 (c) x < 2 and x > 5 (f) 4(x − 1) ≥ x + 2 ≥ 2x − 1

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