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Does it Fit the Inequality? (2)

In this worksheet, students select solutions that fit the given algebraic inequality.

Key stage:  KS 3

Curriculum topic:  Algebra

Curriculum subtopic:  Understand Expressions, Equations, Inequalities, Terms and Factors

Difficulty level:  

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QUESTION 1 of 10

Look at the word INEQUALITY.  It is a bit like the word UNequal.

An inequality is like an equation but instead of both sides being equal they are unequal.

If two things are unequal, then one will be less than the other and one will be more than the other.

 

You should know the following symbols:

<     is less than

>     is more than

≤     is less than or equal to

≥     is more than or equal to

 

Example

If p + 3 ≤ 8, which of the following are possible solutions?

 

p = 3

p = 8

p = 10

p = -7.5

 

Answer

p + 3 ≤ 8

Subtract 3 from both sides

p ≤ 5

p can be any number less than or including 5.

So the possible answers are p = 3, p = -7.5

Select the possible solutions to the inequality:

p + 4 ≤ 10

p = 6

p = 7

p = -7

p = 0

p = 9

Select the possible solutions to the inequality:

p + 2 ≤ 5

p = 9

p = 0

p = -7

p = 7

p = 6

Select the possible solutions to the inequality:

p - 1 ≤ -4

p = 9

p = 0

p = -7

p = 7

p = 6

Select the possible solutions to the inequality:

p - 3 ≥ -6

p = 9

p = 0

p = -7

p = 7

p = 6

Select the possible solutions to the inequality:

p + 2 ≥ -4

p = -7

p = 7

p = -6

p = 0

p = -9

Select the possible solutions to the inequality:

q - 3 > 4

p = 9

q = 0

q = 9

q = 7

q = 12

Select the possible solutions to the inequality:

q - 8 < -1

q = 6.9

q = 7

q = 12

q = 0

p = -9

Select the possible solutions to the inequality:

m + 2 < -5.5

m = -9

m = 0

m = -6.9

m = 7

m = -12

Select the possible solutions to the inequality:

m - 1 ≥ -8.5

m = -6.9

m = 7.5

m = -12

m = 0

m = -9

Select the possible solutions to the inequality:

m - 2 ≤ 3.7

m = 0

m = -6.9

m = 7.5

m = -12

m = -9.7

  • Question 1

Select the possible solutions to the inequality:

p + 4 ≤ 10

CORRECT ANSWER
p = 6
p = -7
p = 0
  • Question 2

Select the possible solutions to the inequality:

p + 2 ≤ 5

CORRECT ANSWER
p = 0
p = -7
  • Question 3

Select the possible solutions to the inequality:

p - 1 ≤ -4

CORRECT ANSWER
p = -7
  • Question 4

Select the possible solutions to the inequality:

p - 3 ≥ -6

CORRECT ANSWER
p = 9
p = 0
p = 7
p = 6
  • Question 5

Select the possible solutions to the inequality:

p + 2 ≥ -4

CORRECT ANSWER
p = 7
p = -6
p = 0
  • Question 6

Select the possible solutions to the inequality:

q - 3 > 4

CORRECT ANSWER
q = 9
q = 12
  • Question 7

Select the possible solutions to the inequality:

q - 8 < -1

CORRECT ANSWER
q = 6.9
q = 0
  • Question 8

Select the possible solutions to the inequality:

m + 2 < -5.5

CORRECT ANSWER
m = -9
m = -12
  • Question 9

Select the possible solutions to the inequality:

m - 1 ≥ -8.5

CORRECT ANSWER
m = -6.9
m = 7.5
m = 0
  • Question 10

Select the possible solutions to the inequality:

m - 2 ≤ 3.7

CORRECT ANSWER
m = 0
m = -6.9
m = -12
m = -9.7
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