Page 37 - 新思维数学活动用书8 样章
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2 Expressions, formulae and equations
Challenge
12 This is part of Raj’s homework.
Question
1 3
a Show the inequality 5 < n ⩽ 8 on a number line.
5 4
b Write
i the smallest integer n could be
ii the greatest integer n could be
iii a list of the integer values n could be.
Answer
a b i smallest integer is 5
5 6 7 8 9 ii largest integer is 9
iii n could be 5, 6, 7, 8, 9
a Raj has made three mistakes. What are the mistakes he has made?
b For each inequality, write
i the smallest integer n could be ii the greatest integer n could be
iii a list of the integer values n could be.
1
3
A 6 ⩽ n <10 4 B −7 < n ⩽ −3 7
3 5 8 9
13 Match each inequality with:
a the correct smallest integer b the correct largest integer
c the correct list of integers.
Smallest Largest
Inequality List of integers
integer integer
A 1.9 ⩽ x ⩽ 5.5 i 0 P 5 W 1, 2, 3, 4, 5, 6
B 0.2 < x < 6.1 ii 2 Q 7 X 0, 1, 2, 3, 4
C −0.5 < x ⩽ 4.9 iii 3 R 6 Y 2, 3, 4, 5
D 2.95 ⩽ x < 7.85 iv 1 S 4 Z 3, 4, 5, 6, 7
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