Assignment of Maths for Grade 9 Give the Correct answer 1) A universal.set u=1,2,3, ldots, 14, A=2,3,5,7,11 , B=2,4,8,9,10,11 . Then which one of the following true A) (A cup B)^prime=1,4,6,12,13,14 B) A cap B=A^prime cup B^prime G) A triangle B=(A cap B)^prime D) A mid B=3,5,7 E, none

## Step 1: Determine ### The union of sets and , denoted as , includes all elements from both sets without duplication. Thus, .## Step 2: Calculate \( (A \cup B)^{\prime} \)### The complement of with respect to the universal set is found by identifying elements in that are not in . Therefore, \( (A \cup B)^{\prime} = \{1,6,7,12,13,14\} \).## Step 3: Verify Option A### Compare \( (A \cup B)^{\prime} = \{1,6,7,12,13,14\} \) with the given option . They do not match.## Step 4: Determine ### The intersection of sets and , denoted as , includes only elements common to both sets. Thus, .## Step 5: Verify Option B### Check if . Since and , their intersection is , which does not equal .## Step 6: Determine ### The symmetric difference consists of elements in either or but not in both. Thus, .## Step 7: Verify Option C### Check if \( A \triangle B = (A \cap B)^{\prime} \). Since \( (A \cap B)^{\prime} = \{1,3,4,5,6,7,8,9,10,11,12,13,14\} \), they do not match.## Step 8: Verify Option D### The notation is unclear, but assuming it means a specific operation, verify against . No standard set operation results in this set.