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ZGE1104 Mathematics Chapter II: Language & Symbols
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ZGE1104 Mathematics Chapter II: Language & Symbols

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Questions and Answers

What are the characteristics of the language of Mathematics?

Precise, Concise, Powerful

What is the difference between an expression and a mathematical sentence?

An expression does not state a complete thought, while a mathematical sentence does.

What are examples of objects in Mathematics?

Numbers, sets, functions, ordered pairs, matrices, vectors, etc.

What are the roles of equal sign and inequality signs in mathematical sentences?

<p>They are 'verbs' in mathematical sentences.</p> Signup and view all the answers

What can mathematical sentences be in terms of their form?

<p>Equations, inequalities, etc.</p> Signup and view all the answers

How can we describe the truth of mathematical sentences?

<p>They may be true, false, or sometimes true/false.</p> Signup and view all the answers

What is the truth value of the statement: 'All perfect squares are even numbers'?

<p>True</p> Signup and view all the answers

What is the truth value of the statement: 'The sum of all interior angles of an oblique triangle is 180°'?

<p>True</p> Signup and view all the answers

In mathematics, an expression is the analogue of which part of an English language sentence?

<p>Noun</p> Signup and view all the answers

Which of the following is NOT an example of an expression in mathematics?

<p>Statements</p> Signup and view all the answers

In mathematical sentences, what do equal sign and inequality signs represent?

<p>Verbs</p> Signup and view all the answers

Which of the following statements is sometimes true and sometimes false?

<p>The sum of all interior angles of an oblique triangle is 180°.</p> Signup and view all the answers

If x is a natural number, which of the following equations holds true?

<p>$x + 5 = 5 - x$</p> Signup and view all the answers

What does the statement 'If x is a positive integer, then x^2 < x' indicate about the relationship between x and x^2?

<p>$x^2 &gt; x$</p> Signup and view all the answers

Which of the following statements about rational numbers holds true?

<p>$x^2 \geq x$</p> Signup and view all the answers

What can be inferred about the sum of even numbers based on the statement 'The sum of even numbers is divisible by four'?

<p>It can be divided by four.</p> Signup and view all the answers

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