Variables and Equations · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.2.3.1.3 - Determine solution sets of simple linear inequalities in given domains

By the end of the lesson, learners can:

State the domain of a variable when given a set of numbers, the set of whole numbers, the set of integers, or a number line.
Solve simple linear inequalities of the form x + a ≥ b, ax > b, and ax + b < cx + d symbolically.
Identify which numbers from a given domain satisfy a linear inequality and express those numbers as a solution set.
Write solution sets in correct set notation, such as {0, 1, 2, 3} or {4, 5, 6, …}.
Solve word problems that require determining the solution set of an inequality over a stated domain.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Variables and Equations (2.3)
Content standard: B8.2.3.1 - Demonstrate an understanding of linear inequalities of the form x + a ≥ b (where a and b are integers) by modelling problems as a linear inequalities and solving the problems concretely, pictorially, and symbolically.
Indicator: B8.2.3.1.3 - Determine solution sets of simple linear inequalities in given domains
Suggested placement: Term 2, Week 10 (Week 22 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 122
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Find solution sets for the following linear inequalities
i. If x < 4 for whole numbers, then the domain is whole numbers and the solution set = {0, 1, 2, 3}
ii. 2x > 24
iii. x + 4 ≤ 3x - 16
iv. 9 - 5x < 6