Manipulating inequalities
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Lesson details
Key learning points
- In this lesson, we will investigate the relationship between different inequalities using bar models and "always, sometimes, never" statements.
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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.
I'm thinking of a number (call it x). If I multiply it by 3 then add 4 to it, what expression do I get?
3(x + 4)
4(x + 3)
4x + 3
Q2.
I'm thinking of a number (call it x). If I multiply it by 3 then add 4 to it, my answer is less than 19. What range of values can my number take?
x < 4
x > 4
x > 5
Q3.
I'm thinking of a number, I subtract 4 from it and then divide it by 6. My number is greater than 2. What range of values can my number take?
x > 24
x > 36
x > 6
3 Questions
Q1.
Given that x > y, is the following inequality always, sometimes or never true? x + 2 > y + 2
Never true
Sometimes true
Q2.
Given that x > y, is the following inequality always, sometimes or never true? y > x + 5
Always true
Sometimes true
Q3.
Given that x > y, is the following inequality always, sometimes or never true? 2x > y + 4
Always true
Never true