Page 34 - 新思维数学活动用书8 样章
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2.6 Inequalities
2.6 Inequalities
Exercise 2.6 Key word
inequality
Focus
Remember: < means ‘is less than’ ⩽ means ‘is less than or equal to’
> means ‘is greater than’ ⩾ means ‘is greater than or equal
to’
1 Write True (T) or False (F) for each statement. Part a is done for you.
a 4 < x < 9 means ‘x is greater than 4 and less than 9’ T
b 4 ⩽ x < 9 means ‘x is greater than 4 and less than or equal to 9’
c 4 < x ⩽ 9 means ‘x is greater than 4 and less than or equal to 9’
d 4 ⩽ x ⩽ 9 means ‘x is greater than or equal to 4 and less than 9’
2 Match each inequality with the correct meaning.
The first one is done for you: A and iii
A 0 ⩽ x ⩽ 5 i x is greater than or equal to 0 and less than 5
B 0 ⩽ x < 5 ii x is greater than 0 and less than or equal to 5
C 0 < x < 5 iii x is greater than or equal to 0 and less than or equal to 5
D 0 < x ⩽ 5 iv x is greater than 0 and less than 5
3 Write each statement as an inequality. Part a is done for you.
a x is greater than or equal to 8 and less than 12 8 ⩽ x < 12
b y is greater than 1 and less than 7
c m is greater than or equal to 0 and less than or equal to 5
d n is greater than 0 and less than or equal to 5
4 Write in words what each inequality means. Part a is done for you.
a 7 < x ⩽ 15 x is greater than 7 and less than or equal to 15
b 10 < y < 20
c 0 ⩽ x ⩽ 5
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