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Symbol Notation - Beginner-Intermediate Level: inequality symbols BEGINNER-INTERMEDIATE

This deep dive ★ worksheet contains 20 beginner-intermediate-level symbol notation problems. Worksheet 11 of 30 focuses on inequality symbols. Practice symbolic representation, notation systems, symbol relationships with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

📝 Worksheet 11 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 11 of 30 (36% complete)

Question 1

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 2

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(h(2))
Evaluate from innermost outward:
p(h(2))
= 1
nested, functions, advanced

Question 3

If ⊖ = -, ☆ = - (standard order of operations applies), then evaluate: 9 ⊖ 2 ☆ 4
Substituting symbols: 9 - 2 - 4
Applying order of operations: = 3
arithmetic, basic

Question 4

In the notation system where ▲ means 4x, what is the value of ▲(8)?
Applying ▲ to 8:
48 = 48
complex, systems

Question 5

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

Question 6

Given matrices: A = [ 2 3] [ 4 4] B = [ 1 4] [ 4 1] Compute: A + B
Matrix addition:
A + B =

[ 3 7]
[ 8 5]
matrix, advanced

Question 7

If '≈' means '≈', then determine: 14 ≈ 6
≈ = ≈
14 ≈ 6 (approximately equal) is False
inequality, comparison

Question 8

Given matrices: A = [ 4 5] [ 3 4] B = [ 1 2] [ 3 1] Compute: A + B
Matrix addition:
A + B =

[ 5 7]
[ 6 5]
matrix, advanced

Question 9

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

Question 10

If □ = ÷, ⊘ = ÷ (standard order of operations applies), then evaluate: 5 □ 1 ⊘ 14
Substituting symbols: 5 ÷ 1 ÷ 14
Applying order of operations: = 5
arithmetic, basic

Question 11

If '≺' means '<', then determine: 1 ≺ 11
≺ = <
1 < 11 is True
inequality, comparison

Question 12

Given: A = {1, 4, 6, 8} B = {1, 6, 8, 10} C = {2, 3, 4, 5, 7} Find: B △ C
Symmetric Difference of B and C:
{1, 6, 8, 10} △ {2, 3, 4, 5, 7} = {1, 2, 3, 4, 5, 6, 7, 8, 10}
sets, operations

Question 13

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

Question 14

If ⊕ = +, ⊖ = - (standard order of operations applies), then evaluate: 10 ⊕ 3 ⊖ 6
Substituting symbols: 10 + 3 - 6
Applying order of operations: = 7
arithmetic, basic

Question 15

If '≽' means '≥', then determine: 5 ≽ 19
≽ = ≥
5 ≥ 19 is False
inequality, comparison

Question 16

In the notation system where ♥ means 3x, what is the value of ♥(6)?
Applying ♥ to 6:
36 = 36
complex, systems

Question 17

If f(x) = √x, then find f(8)
Substituting x = 8:
√8 = 11
functions, substitution

Question 18

If '≻' means '>', then determine: 6 ≻ 3
≻ = >
6 > 3 is True
inequality, comparison

Question 19

If ♧ = ×, ∇ = - (standard order of operations applies), then evaluate: 15 ♧ 6 ∇ 3
Substituting symbols: 15 × 6 - 3
Applying order of operations: = 87
arithmetic, basic

Question 20

If '≠' means '≠', then determine: 8 ≠ 10
≠ = ≠
8 ≠ 10 is True
inequality, comparison
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