Year 8
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Lesson details
Key learning points
- In this lesson, we will use the balancing method to solve inequalities. We balance the inequality by completing inverse operations to simplify the expressions.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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3 Questions
Q1.
Given that x = 6 and y = -5, which of the following statements is false? It may help to sketch a number line.
-7 < y
x ≤ 7
y ≤ -4
Q2.
Given that a = -3, which of the following statements is false? It may help to sketch a number line.
-3 ≤ a
-a = 3
a ≤ -2
Q3.
Look at the diagram. Which of these statements is true according to the diagram?
p < -q
p < r
r > -q
3 Questions
Q1.
What is the solution to the following inequality: x - 4 ≤ 10
x = 14
x ≤ 6
x ≥ 6
Q2.
What is the solution to the following inequality: 3x + 4 > 10
x = 14/3
x = 2
x > 14/3
Q3.
What is the solution to the following inequality: 4x + 4 ≥ 2x + 10
x ≥ 1
x ≥ 2
x ≥ 4