If a hybrid set contains elements {x, y, z} and another set contains {y, z, w},
Practice Questions
Q1
If a hybrid set contains elements {x, y, z} and another set contains {y, z, w}, what is the hybrid set's complement with respect to the universal set {x, y, z, w, v}?
{v}
{x, w}
{y, z}
{x, y, z, w}
Questions & Step-by-Step Solutions
If a hybrid set contains elements {x, y, z} and another set contains {y, z, w}, what is the hybrid set's complement with respect to the universal set {x, y, z, w, v}?
Step 1: Identify the hybrid set, which contains the elements {x, y, z}.
Step 2: Identify the universal set, which contains the elements {x, y, z, w, v}.
Step 3: Determine which elements are in the universal set but not in the hybrid set.
Step 4: Compare the elements: The universal set has {x, y, z, w, v} and the hybrid set has {x, y, z}.
Step 5: The elements in the universal set that are not in the hybrid set are {w, v}.
Step 6: Therefore, the complement of the hybrid set with respect to the universal set is {w, v}.
Set Theory – Understanding the concepts of hybrid sets, complements, and universal sets.
Complement of a Set – Identifying elements in the universal set that are not present in the specified set.