Manipulating inequalities

Manipulating inequalities

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Lesson details

Key learning points

  1. In this lesson, we will investigate the relationship between different inequalities using bar models and "always, sometimes, never" statements.

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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)
Correct answer: 3x + 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
Correct answer: x < 5
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?
Correct answer: x > 16
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
Correct answer: Always true
Never true
Sometimes true
Q2.
Given that x > y, is the following inequality always, sometimes or never true? y > x + 5
Always true
Correct answer: Never true
Sometimes true
Q3.
Given that x > y, is the following inequality always, sometimes or never true? 2x > y + 4
Always true
Never true
Correct answer: Sometimes true

Lesson appears in

UnitMaths / Forming and solving inequalities