January 2014
Intermediate to advanced
144 pages
4h 2m
English
Content preview from Mathematical Formulas for Industrial and Mechanical Engineering
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Example
Find the values of x, which satisfy the inequality j2x 2 3j# 4.
Solution
j2x 2 3j# 4. 24# 2x 2 3 # 4. 241 3# 2x # 4 1 3. 21# 2x # 7. 2
1
2
# x #
7
2
So, the values of x are in between 21/2 and 7/2 inclusively.
2.4 Basic Properties of Real Numbers
1. Closureness: When two real numbers are added or multiplied together, we get again a real
number. So, we say that the real number system is closed with respect to addition and multi-
plication. It is also closed with respect to subtraction. However, it is closed with respect to
division, only when the divisor is non-zero.
In symbolic form, we write
i. a; bAIR.a 6 bAIR as well as abAIR
ii. a; bAIR and b 6¼ ...
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