100% TRUSTED workings
MIP1502
Assignment 3
2024 - DUE
9 July 2024
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MIP1502 Assignment 3 (COMPLETE ANSWERS) 2024
(369439) - DUE 9 July 2024
Course
Mathematics for Intermediate II (MIP1502)
Institution
University Of South Africa (Unisa)
Book
Intermediate Mathematics 2
MIP1502 Assignment 3 (COMPLETE ANSWERS) 2024 (369439) - DUE 9
July 2024 ;100% TRUSTED workings, explanations and solutions.......
Question 1 1.1 Use examples to explain the difference between a number
sentence and an algebraic expression. (4
A **number sentence** and a **algebraic expression** are essential thoughts
in science that fill different necessities and have undeniable characteristics.
Here is a point by point explanation with models:
### Number Sentence
A number sentence is a mathematical clarification that consolidates numbers,
undertakings, and a value or lopsidedness picture. It will in general be a
condition (with an identical sign) or a lopsidedness (with dissimilarity pictures
like <, >, ≤, ≥). Number sentences can be either self-evident or false.
,#### Examples of Number Sentences:
1. **Equation:**
\[
7 + 3 = 10
\]
This number sentence communicates that 7 notwithstanding 3 counterparts
10. It's a certifiable statement.
2. **Inequality:**
\[
5 \times 2 > 8
\]
This number sentence communicates that on numerous occasions 2 is more
vital than 8. It's moreover a real declaration.
### Arithmetical Explanation
A logarithmic explanation, on the other hand, is a mix of elements, numbers,
and undertakings (like extension, derivation, increment, and division), but it
prohibits a value or unevenness sign. It tends to a value that can change
dependent upon the potential gains of the elements.
#### Cases of Numerical Verbalizations:
1. **Simple Expression:**
\[
, 3x + 5
\]
This verbalization consolidates a variable \(x\) and addresses a value that
depends upon \(x\). For instance, if \(x = 2\), the enunciation evaluates to \
(3(2) + 5 = 11\).
2. **Complex Expression:**
\[
4y^2 - 7y + 1
\]
This explanation incorporates a variable \(y\) with different errands and
powers. It tends to a value that adjustments of perspective on \(y\).
### Key Differences:
1. **Structure:**
- **Number Sentence:** Consolidates numbers, undertakings, and a
reasonableness/uniqueness sign.
- **Logarithmic Expression:** Consolidates elements, numbers, and
exercises yet no consistency/awkwardness sign.
2. **Purpose:**
- **Number Sentence:** States a relationship that is either clear or sham.
- **Numerical Expression:** Tends to a value that changes considering the
elements.
