Grade 11 • Science Mathematics • Unit 1: Algebra
Chapter 1: Logic, Sets and Real Number System
Exercise 1.1
Questions and answers below follow the supplied chapter text. Mathematical expressions use the site’s KaTeX renderer and all truth tables are real, horizontally scrollable HTML tables.
Back to Chapter 1 overviewSource verification notes
The supplied file contains Exercise 1.1 only. Its ending shows 19 numbered MCQ slots, but no MCQ question statements or options; only 17 answer/hint fragments are discernible, and their numbering cannot be verified. They are not treated as a verified answer key.
Several solution typos and truth-table mismatches are identified beside the affected answers. Where the intended expression is clear, tables are recalculated from the printed question. Ambiguous source wording is left flagged instead of guessed.
Question 1
(a)
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(b)
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(c)
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(d)
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(e)
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(f)
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Question 2
(a)
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(b)
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(c)
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(d)
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(e)
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(f)
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(g)
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(h)
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Question 3
(a)
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(b)
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(c)
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(d)
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Question 4
(a)
| T | T | F | F |
| T | F | F | F |
| F | T | T | T |
| F | F | T | F |
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(b)
| T | T | F | F | F |
| T | F | F | T | T |
| F | T | T | F | T |
| F | F | T | T | T |
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(c)
| T | T | T | F |
| T | F | F | T |
| F | T | F | T |
| F | F | F | T |
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(d)
| T | T | F | T | F |
| T | F | T | T | F |
| F | T | F | F | T |
| F | F | T | T | F |
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(e)
| T | T | T | T | T |
| T | F | F | T | F |
| F | T | T | F | F |
| F | F | T | T | T |
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(f)
| T | T | F | T | T | T |
| T | F | F | F | T | T |
| F | T | T | T | T | T |
| F | F | T | T | F | F |
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(g)
| T | T | T | T | T |
| T | F | F | F | T |
| F | T | T | F | T |
| F | F | T | F | T |
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(h)
| T | T | T | F | T | T |
| T | F | F | F | F | T |
| F | T | T | T | T | T |
| F | F | T | T | T | T |
Answer and working
(i)
| T | T | T | T | T | T |
| T | T | F | T | F | T |
| T | F | T | F | F | F |
| T | F | F | F | T | T |
| F | T | T | F | T | T |
| F | T | F | F | F | F |
| F | F | T | T | F | T |
| F | F | F | T | T | T |
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Question 5
(a)
| T | F | F |
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(b)
| T | F | T | T |
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(c)
| T | F | F | T | F |
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(d)
| T | F | F | F | F |
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(e)
| T | F | T |
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(f)
| T | F | T | F | T | T | T |
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Question 6
(a)
| T | F | F | F |
| F | T | F | F |
Answer and working
(b)
| T | T | T | T |
| T | F | T | T |
| F | T | T | T |
| F | F | F | F |
Answer and working
(c)
| T | T | F | T | F | F | F |
| T | F | T | T | F | F | F |
| F | T | F | F | T | T | T |
| F | F | T | T | F | T | F |
Answer and working
(d)
| T | T | F | F | T | F | T |
| T | F | F | F | T | T | T |
| F | T | T | T | F | F | F |
| F | F | T | F | T | T | T |
Answer and working
Question 7
(a)
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(b)
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(c)
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(d)
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(e)
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Question 8
(a)
| T | F | T |
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(b)
| F | T | F |
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(c)
| T | T | T |
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(d)
| F | T | F | T | F |
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(e)
| F | T | T | T | T |
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(f)
| T | T | T | T | T |
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Question 9
(a)
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(b)
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(c)
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Question 10
(a)
| T | T | F | F | T |
| T | F | F | F | T |
| F | T | T | T | T |
| F | F | T | F | F |
Answer and working
(b)
| T | T | T | T | T |
| T | F | F | T | T |
| F | T | F | T | T |
| F | F | F | F | T |
Answer and working
(c)
| T | T | T | F | F |
| T | F | T | F | F |
| F | T | T | F | F |
| F | F | F | T | F |
Answer and working
(d)
| T | T | T | T | F | F |
| T | F | F | T | F | F |
| F | T | F | T | F | F |
| F | F | F | F | T | F |
Answer and working
(e)
| T | T | F | T | F | F | T |
| T | F | T | F | F | F | T |
| F | T | F | T | F | T | T |
| F | F | T | T | T | T | T |
Answer and working
(f)
| T | T | T | T | F | F | F |
| T | F | F | T | T | F | F |
| F | T | F | T | F | F | F |
| F | F | F | T | T | F | F |
Answer and working
MCQ material at the end of the source
The source shows nineteen numbered MCQ slots but no question statements or options. It contains fewer discernible answer/hint fragments, and their mapping to the numbered slots is unclear. The fragments are preserved here as incomplete source material only.