Page 38 - 新思维数学活动用书8 样章

2.6 Inequalities

14 Copy each number line. Show each inequality on its number line.
a 0.75 < x ⩽ 3.25 b 10.6 ⩽ x < 13.4
0 1 2 3 4 10 11 12 13 14

15 Write the inequality shown by each number line. Use the letter y.
a b
22 23 24 25 26 0 1 2 3 4
16 Arun and Marcus are discussing inequalities.
Read what they say.
The inequalities

y ⩽ 14 and y > 2 can
be written together as
2 < y ⩽ 14. The inequalities

y ⩽ 14 and y > 2 can
be written together
as 14 ⩾ y > 2.

Write each pair of inequalities as one inequality using
i Arun’s method ii Marcus’s method.
a y < 18 and y > 12 b y ⩽ 4 and y ⩾ 0

c x > 7 and x ⩽ 25 d x ⩾ 10 and x < 38

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