Inequalities - Level 8
Show how inequalities can be represented with number line diagrams and graphs.
This is Level 8. Match the statements with the corresponding diagrams. The statement refers to the unshaded region and a solid line indicates inclusion.
y ≤ 2x
y > -x
y ≥ x, y < -x
y < x, y > x-2
y ≤ -x
y ≥ x, y ≥ -x
y ≥ x
y < -x
y ≥ x, y < 1-x
y < 2x
y ≥ x, y < 2
y ≥ x, y ≥ 0
Level 1 - Comparing positive integers
Level 2 - Comparing positive and negative decimal numbers
Level 3 - Comparing positive and negative fractions
Level 4 - Comparing metric measures
Level 5 - Matching statements to number line diagrams.
Level 6 - Solving linear inequalities.
Level 7 - Solving linear two part inequalities.
Level 8 - Matching statements to graphs.
Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.
More on this topic including lesson Starters, visual aids and investigations.
The following diagram represents y ≥ x and y < 2
Notice that the points on the line y = x are included but the points on the line y = 2 are not.
The most important thing is to talk to your teacher if there is anything you don't understand about this topic.
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"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."
Secondary National Strategy, Mathematics at key stage 3
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