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Mathematical Vocabulary & Glossary
Master essential mathematical terms with native pronunciation and examples (12 Terms)
Deep Conceptual Analysis & Models
Comprehensive breakdown of core concepts, charts, and mathematical relationships
| Conjunction | Number of Entities | Affirmative / Negative | Verb Agreement Rule |
|---|---|---|---|
| Both... and | Exactly Two (2) | Affirmative (Both true) | ALWAYS PLURAL verb (are, were, have) |
| Either... or | Exactly Two (2) | Alternative (One true) | Agrees with the CLOSER subject |
| Neither... nor | Exactly Two (2) | Negative (Both false) | Agrees with the CLOSER subject |
| None of | Three or more (3+) | Negative (Zero true) | Plural / Singular for countable; Singular for uncountable |
• Neither the passengers nor the driver was injured. (Driver is singular -> was).
• The verb matches whichever subject sits directly adjacent to it.
• Correct: Neither Ahmed nor Ali attended.
• Never attach not / didn't / never to clauses governed by Neither.
• Countable: None of my friends are / is coming. (Both acceptable; plural is common in conversation).
Transform paired sentences into cohesive compound clauses:
1. Joining with 'Both... and'
Premise: 'The toaster is on sale. The microwave is on sale.' Synthesis: 'Both the toaster and the microwave are on sale.'
2. Joining Negatives with 'Neither... nor'
Premise: 'Ali didn't buy the jacket. Omar didn't buy the jacket.' Synthesis: 'Neither Ali nor Omar bought the jacket.' (Notice that 'didn't buy' becomes affirmative past 'bought').
3. Entity Count Diagnostic (2 vs 3+)
If two phones are defective: 'Neither of the two phones works.' If five phones are defective: 'None of the five phones work.'