Page 61 - 新思维数学学生用书8 样章

2 Expressions, formulae and equations

12 This is part of Sandeep’s classwork.

Question
1
1
a Show the inequality 2 ≤ m < 7 on a number line.
4
2
b Write
i the smallest integer that m could be
ii the greatest integer that m could be
iii a list of the integer values that m could be.
Solution
a
1 2 3 4 5 6 7 8
b i smallest integer is 2
ii largest integer is 7

iii m could be 2, 3, 4, 5, 6, 7

a Sandeep has made two mistakes. What are they?
b For each of these inequalities, write

i the smallest integer that m could be
ii the greatest integer that m could be
ii a list of the integer values that m could be.
1
3
1
A 5 ≤ m < 9 B −6 ≤ m < −2 1
4 3 2 8
13 Zara is looking at this question.
Draw a line linking each inequality on the left with: the correct smallest integer; the correct
largest integer; and the correct list of integers. The first one has been done for you: a and ii and
D and Z

Smallest Largest
Inequality integer integer List of integers

a: 1.5 ≤ x ≤ 4 i: 3 A: 5 U: 4, 5, 6

b: 08. < x < 59 ii: 2 B: 6 V: −5, −4, −3, −2, −1, 0
.
c: 3 < x ≤ 6.1 iii: −5 C: 1 W: 1, 2, 3, 4, 5
d: 2.2 ≤ x < 3.9 iv: 4 D: 4 X: −4, −3, −2, −1, 0, 1

e: −45. < x <11 v: 1 E: 0 Y: 3
.
f: −5.01 < x ≤ 0 vi: −4 F: 3 Z: 2, 3, 4

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