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Introduction to Inequalities
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Introduction to Inequalities
Choose or write answers to show what each inequality means. Use whole numbers unless a question says otherwise.
Inequality symbols
1.Which symbol means “less than or equal to”?
- <
- ≥
- ≤
- >
2.Write >, < or = in the gap to make this comparison true: 17 21.
3.Write >, < or = in the gap to make this comparison true: 34 29.
4.Write >, < or = in the gap to make this comparison true: 46 46.
5.Select every true statement.
- 19 > 16
- 23 < 18
- 31 = 31
- 42 ≤ 39
6.Match each symbol with its meaning.
- >
- <
- ≥
- ≤
- =
- less than
- greater than or equal to
- equal to
- greater than
- less than or equal to
Values that satisfy inequalities
7.An open circle is at 6, and the ray extends to the right. Which inequality does this number line show?
- x < 6
- x ≤ 6
- x > 6
- x ≥ 6
8.Write all whole-number values of x that make x < 7 true.
9.A number n is greater than 11. What is the smallest whole-number value n can have?
10.A number m is less than or equal to 18. What is the greatest whole-number value m can have?
11.A number p is at least 23. What is the smallest whole-number value p can have?
Inequalities in everyday situations
12.Each bus ticket costs £6. Erin has £30 to spend. Write an inequality using t for the number of tickets she can buy.
13.A parcel must weigh more than 2 kg and no more than 9 kg. Which listed weights meet both rules? Select every correct answer.
- 1 kg
- 2 kg
- 5 kg
- 9 kg
- 10 kg
14.A container can hold a maximum of 16 litres. Write an inequality using c for the amount of liquid in litres.
15.Explain what x ≥ 9 tells you about the value of x.
3 printable pages
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