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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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