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Symbol Notation - Beginner Level: symbolic logic BEGINNER

This foundation builder 🌟 worksheet contains 20 beginner-level symbol notation problems. Worksheet 1 of 30 focuses on symbolic logic. Practice symbolic logic, notation puzzles, symbol interpretation with our step-by-step solutions. Difficulty: foundational concepts and basic patterns. Recommended for entry-level learners.

📝 Worksheet 1 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 1 of 30 (3% complete)

Question 1

Given: A = {5, 6, 7, 9, 10} B = {1, 2, 4, 7, 9} C = {1, 3, 9} Find: A − B
Difference of A and B:
{5, 6, 7, 9, 10} − {1, 2, 4, 7, 9} = {5, 6, 10}
sets, operations

Question 2

If '≽' means '≥', then determine: 19 ≽ 20
≽ = ≥
19 ≥ 20 is False
inequality, comparison

Question 3

If h(x) = x × 4, then find h(6)
Substituting x = 6:
6 × 4 = 9
functions, substitution

Question 4

If P = False and '!' means NOT, then evaluate: !P
Logical operation: NOT
P=False → NOT flips the value
Result: True
logic, boolean

Question 5

Given: A = {1, 4, 7, 9} B = {1, 5, 6, 7, 8} C = {2, 4, 5, 6, 8, 10} Find: A ∪ B
Union of A and B:
{1, 4, 7, 9} ∪ {1, 5, 6, 7, 8} = {1, 4, 5, 6, 7, 8, 9}
sets, operations

Question 6

If '≈' means '≈', then determine: 13 ≈ 20
≈ = ≈
13 ≈ 20 (approximately equal) is False
inequality, comparison

Question 7

Given matrices: A = [ 2 5] [ 4 2] B = [ 3 4] [ 2 2] Compute: A - B
Matrix subtraction:
A - B =

[-1 1]
[ 2 0]
matrix, advanced

Question 8

If g(x) = x² + 1, then find g(10)
Substituting x = 10:
10² + 1 = 101
functions, substitution

Question 9

Given matrices: A = [ 1 4] [ 5 4] B = [ 1 5] [ 5 2] Compute: A - B
Matrix subtraction:
A - B =

[ 0 -1]
[ 0 2]
matrix, advanced

Question 10

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

Question 11

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: p(q(f(4)))
Evaluate from innermost outward:
p(q(f(4)))
= 0
nested, functions, advanced

Question 12

If P = True, Q = True, and 'nand' means NAND, then evaluate: P nand Q
Logical operation: NAND
P=True, Q=True → NAND is True except when both are True
Result: False
logic, boolean

Question 13

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: q(h(2))
Evaluate from innermost outward:
q(h(2))
= 2
nested, functions, advanced

Question 14

In the notation system where ▼ means x² - 1, what is the value of ▼(5)?
Applying ▼ to 5:
5² - 1 = 24
complex, systems

Question 15

If '≽' means '≥', then determine: 6 ≽ 12
≽ = ≥
6 ≥ 12 is False
inequality, comparison

Question 16

If k(x) = x/4, then find k(4)
Substituting x = 4:
4/4 = 1
functions, substitution

Question 17

In the notation system where ☁ means x + 10, what is the value of ☁(4)?
Applying ☁ to 4:
4 + 10 = 14
complex, systems

Question 18

If k(x) = x + 7, then find k(8)
Substituting x = 8:
8 + 7 = 15
functions, substitution

Question 19

In the notation system where ♣ means x/2, what is the value of ♣(3)?
Applying ♣ to 3:
3/2 = 1.50
complex, systems

Question 20

If f(x) = 2x + 1, then find f(5)
Substituting x = 5:
25 + 1 = 26
functions, substitution
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