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7.1 Inequalities
LEARNING
STANDARDS
What are inequalities? Compare the values
of numbers, describe
In our daily lives, we often make comparisons between two inequality and hence,
quantities with different values. We compare the quantities in form algebraic inequality.
terms of number, price, temperature, size, height, mass and
so on.
RM1400 RM1600
x g 80 g
50 g
A B
Which smart phone brand is cheaper? Which has a larger mass?
By comparison, we found that
• the price of smart phone brand A is cheaper than brand B. Discuss the relationship
CHAPTER
7 • the mass (x + 50) g is greater than 80 g. between two quantities
in real-life situations
The relationship between two quantities that do not have which involve the usage
the same value is known as an inequality. of ‘more than’ or
‘less than’.
Compare the values of numbers
In chapter 1, we have learned how to compare the value of an integer with another integer
based on its position on a number line. In this chapter, we shall write this comparison by
using mathematical symbols.
For example:
–3 –2 –1 0 1 2 3 4 –8 –7 –6 –5 –4 –3 –2 –1
Observe the position of the pair of Observe the position of the pair of
numbers –2 and 3 on the number line. numbers –7 and –2 on the number line.
–2 lies to the left of 3, –2 lies to the right of –7,
therefore –2 is less than 3. therefore –2 is more than –7.
The symbol ‘,’ is used to represent The symbol ‘.’ is used to represent
‘less than’. ‘greater than’.
So, ‘–2 is less than 3’ is written as So, ‘–2 is greater than –7’ is written as
‘–2 , 3’. ‘–2 . –7’.
–2 , 3 and –2 . –7 are inequalities.
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Chapter 7
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