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Maths · Grade 6 · Set C
Inequalities: Set C
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C
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Goal: 15 min
Score/ 12
Remember: An inequality names a whole set of answers. A ray shows them all, and the wide side of the sign faces the bigger number.

Whole numbers on the line

1
The dots mark every whole number from 0 to 9 that makes an inequality true. Which inequality is it?
x > 4x > 5x < 5
2
x < −2. What is the biggest whole number that x can be?
3
Which number is a solution of x > −3.5?
−4−3.5−3−5
4
How many whole numbers from 1 to 20 make x > 14 true?
5
Every number that makes x > 8 true also makes x > 5 true.
TrueFalse

Many answers

6
It is colder than −4 degrees. Let t stand for the temperature. Which inequality fits?
t > −4t < −4t = −4
7
Join each sentence to its inequality.
  1. 1n is greater than −6
  2. 2n is less than −6
  3. 36 is less than n
  4. 46 is greater than n
  • An > −6
  • Bn < −6
  • Cn > 6
  • Dn < 6
8
Sam needs more than 15 points to win. He has 9. What is the fewest whole points he can add to win?
9
Circle every number that makes x < 2.5 true.
232.4−102.5
10
Which line has dots on every whole number from 0 to 8 that makes x < 5 true, and only those?
Line ALine BLine C

Stretch

11
x > −4. What is the smallest whole number that x can be?
12
Number the steps to decide if −2 is a solution of x > −5.
  • Yes, so −2 is a solution
  • On the number line, −2 is to the right of −5
  • Put −2 in for x: is −2 > −5?
  • Write the inequality x > −5
13
Pip says 0 does not make x > −2 true, because 0 is not a negative number. Write how you know Pip is wrong.
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Answer key · Set C
Inequalities: Set C
1x > 4 5 is a solution and 4 is not, so the numbers are all bigger than 4: x > 4.
2-3 Less than −2 does not include −2. The biggest whole number below it is −3.
3−3 x > −3.5 means bigger than −3.5. −3 is to the right of −3.5, so it fits. −3.5 itself and the others are not bigger.
46 The whole numbers bigger than 14 are 15, 16, 17, 18, 19 and 20: six of them.
5True A number bigger than 8 is also bigger than 5. The first set sits inside the second.
6t < −4 Colder than −4 means a smaller number than −4, so t < −4.
71-A, 2-B, 3-C, 4-D Read the sentence from n. 6 is less than n means n is bigger than 6.
87 9 + 6 = 15 is not more than 15. 9 + 7 = 16 is, so 7.
92, 2.4, −10 2, 2.4 and −10 are all less than 2.5. 3 is bigger and 2.5 is not less than itself.
10Line C x < 5 includes 0 to 4. Line B adds 5, which is not less than 5, and Line A shows the bigger numbers.
11-3 Bigger than −4 does not include −4. The next whole number is −3.
124, 3, 2, 1 Test the number, and check it on the line.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.