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Symbol Notation - Intermediate Level: symbolic logic INTERMEDIATE

Master symbol notation concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into symbolic logic while learning notation puzzles, symbol interpretation, symbolic representation. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

📝 Worksheet 16 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 16 of 30 (53% complete)

Question 1

If P = False, Q = True, and 'nor' means NOR, then evaluate: P nor Q
Logical operation: NOR
P=False, Q=True → NOR is True only when both are False
Result: False
logic, boolean

Question 2

Given matrices: A = [ 4 1] [ 5 2] B = [ 1 1] [ 3 5] Compute: A × B
Matrix multiplication:
A × B =

[ 7 9]
[11 15]
matrix, advanced

Question 3

If '≠' means '≠', then determine: 12 ≠ 3
≠ = ≠
12 ≠ 3 is True
inequality, comparison

Question 4

If P = False, Q = False, and '->' means IMPLIES, then evaluate: P -> Q
Logical operation: IMPLIES
P=False, Q=False → IMPLIES is False only when P=True and Q=False
Result: True
logic, boolean

Question 5

If '≈' means '≈', then determine: 9 ≈ 14
≈ = ≈
9 ≈ 14 (approximately equal) is False
inequality, comparison

Question 6

If P = False, Q = True, and '->' means IMPLIES, then evaluate: P -> Q
Logical operation: IMPLIES
P=False, Q=True → IMPLIES is False only when P=True and Q=False
Result: True
logic, boolean

Question 7

Given matrices: A = [ 3 1] [ 3 3] B = [ 3 3] [ 5 1] Compute: A - B
Matrix subtraction:
A - B =

[ 0 -2]
[-2 2]
matrix, advanced

Question 8

Given: A = {1, 2, 6, 7} B = {1, 2, 3, 4, 5} C = {2, 3, 4, 6, 8} Find: A △ C
Symmetric Difference of A and C:
{1, 2, 6, 7} △ {2, 3, 4, 6, 8} = {1, 3, 4, 7, 8}
sets, operations

Question 9

In the notation system where ☆ means x², what is the value of ☆(8)?
Applying ☆ to 8:
8² = 64
complex, systems

Question 10

If '≽' means '≥', then determine: 8 ≽ 2
≽ = ≥
8 ≥ 2 is True
inequality, comparison

Question 11

If f(x) = x³, then find f(3)
Substituting x = 3:
3³ = 27
functions, substitution

Question 12

If P = False, Q = False, and '&' means AND, then evaluate: P & Q
Logical operation: AND
P=False, Q=False → AND gives True only if both True
Result: False
logic, boolean

Question 13

Given matrices: A = [ 1 3] [ 2 3] B = [ 3 5] [ 5 5] Compute: A × B
Matrix multiplication:
A × B =

[18 20]
[21 25]
matrix, advanced

Question 14

If P = False, Q = True, and 'nor' means NOR, then evaluate: P nor Q
Logical operation: NOR
P=False, Q=True → NOR is True only when both are False
Result: False
logic, boolean

Question 15

If '≻' means '>', then determine: 4 ≻ 10
≻ = >
4 > 10 is False
inequality, comparison

Question 16

Given: A = {1, 5, 7, 8, 9} B = {1, 3, 5, 6, 7, 8} C = {1, 5, 7, 9, 10} Find: A ∩ C
Intersection of A and C:
{1, 5, 7, 8, 9} ∩ {1, 5, 7, 9, 10} = {1, 5, 7, 9}
sets, operations

Question 17

If '≽' means '≥', then determine: 15 ≽ 8
≽ = ≥
15 ≥ 8 is True
inequality, comparison

Question 18

If P = False, Q = False, and '|' means OR, then evaluate: P | Q
Logical operation: OR
P=False, Q=False → OR gives True if at least one is True
Result: False
logic, boolean

Question 19

If ∇ = -, ⊘ = ÷ (standard order of operations applies), then evaluate: 10 ∇ 5 ⊘ 2
Substituting symbols: 10 - 5 ÷ 2
Applying order of operations: = 8
arithmetic, basic

Question 20

If '≈' means '≈', then determine: 19 ≈ 18
≈ = ≈
19 ≈ 18 (approximately equal) is True
inequality, comparison
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