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 crucial ideas in
science that fill various needs and have unmistakable qualities. Here is a point
by point clarification with models:
### Number Sentence
A number sentence is a numerical explanation that incorporates numbers,
tasks, and an equity or imbalance image. It tends to be a condition (with an
equivalent sign) or an imbalance (with disparity images like <, >, ≤, ≥).
Number sentences can be either obvious or bogus.
,#### Instances of Number Sentences:
1. **Equation:**
\[
7 + 3 = 10
\]
This number sentence expresses that 7 in addition to 3 equivalents 10. It's a
genuine assertion.
2. **Inequality:**
\[
5 \times 2 > 8
\]
This number sentence expresses that multiple times 2 is more noteworthy
than 8. It's likewise a genuine assertion.
### Arithmetical Articulation
A logarithmic articulation, then again, is a blend of factors, numbers, and tasks
(like expansion, deduction, increase, and division), however it does exclude
an equity or imbalance sign. It addresses a worth that can change contingent
upon the upsides of the factors.
#### Instances of Mathematical Articulations:
1. **Simple Expression:**
\[
, 3x + 5
\]
This articulation incorporates a variable \(x\) and addresses a worth that
relies upon \(x\). For example, if \(x = 2\), the articulation assesses to \(3(2) +
5 = 11\).
2. **Complex Expression:**
\[
4y^2 - 7y + 1
\]
This articulation includes a variable \(y\) with various tasks and powers. It
addresses a worth that changes in view of \(y\).
### Key Contrasts:
1. **Structure:**
- **Number Sentence:** Incorporates numbers, tasks, and a
fairness/disparity sign.
- **Logarithmic Expression:** Incorporates factors, numbers, and activities
yet no uniformity/imbalance sign.
2. **Purpose:**
- **Number Sentence:** States a relationship that is either evident or bogus.
- **Mathematical Expression:** Addresses a worth that shifts in light of the
factors.