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Maths · Grade 6 · Set B
Inequalities: Set B
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Goal: 15 min
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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.

Read and write inequalities

1
Sam has less than 9 stickers. Let s stand for the stickers he has. Which inequality fits?
s > 9s = 9s < 9
2
Each dot is a whole number. The lines are A on top, B in the middle and C at the bottom. Which line has dots only on numbers that make x < 4 true?
ABC
3
Does 10 make x > 7 true?
YesNo
4
Pip read fewer than 6 books. Let b stand for the books. What is the biggest whole number b could be?
5
A bike path is longer than 3 miles. Let p stand for its length in miles. What is the smallest whole number p could be?

Many answers

6
How many numbers make x < 10 true?
Only the numbers marked on the lineInfinitely many: the list never endsOnly one: 9
7
Join each sentence to its inequality.
  1. 1y is greater than 4
  2. 2y is less than 4
  3. 3y is greater than 12
  4. 4y is less than 12
  • Ay > 4
  • By < 4
  • Cy > 12
  • Dy < 12
8
It is warmer than 5 degrees below zero. Let t stand for the temperature. Which inequality fits?
t < −5t > −5t = −5
9
The inequality x < 6 says the same as 6 < x.
TrueFalse
10
Which number is not a solution of x < −1?
−4−20−1.5

Stretch

11
x > 4.5. What is the smallest whole number that x can be?
12
Number the steps to show x > 3 on a number line.
  • Think: bigger numbers are to the right of 3
  • Mark 3
  • Draw a ray from 3 going right, with the wide side of the sign facing it
  • Draw a number line
13
Write a short story that x > 5 could be about. Say what x stands for.
Scan the code at the top to mark this sheet on screenTake a photo of your answers or type them. It is marked for you automatically, and your score is kept.
Answer key · Set B
Inequalities: Set B
1s < 9 Less than 9 is s < 9. The wide side of the sign faces the bigger number.
2B x < 4 means smaller than 4. 1, 2 and 3 fit. 4 itself does not, and 5, 6 and 7 are too big.
3Yes 10 is bigger than 7, so x = 10 makes x > 7 true.
45 Fewer than 6 does not include 6. The biggest whole number below it is 5.
54 Longer than 3 does not include 3. The next whole number is 4.
6Infinitely many: the list never ends Every number below 10 fits, even 9.5 and −100. The list never ends.
71-A, 2-B, 3-C, 4-D Less than uses <, greater than uses >. The wide side faces the bigger number.
8t > −5 Warmer than −5 means a bigger number than −5, so t > −5.
9False 6 < x means 6 is less than x, so x is greater than 6. That is x > 6, not x < 6.
100 x < −1 means smaller than −1. 0 is bigger than −1, so it does not fit.
115 x must be more than 4.5. The first whole number past 4.5 is 5.
123, 2, 4, 1 Mark the number, then shade the side with the numbers that fit.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.