Variables and Equations · JHS2 Mathematics

Lesson notes

Indicator: B8.2.3.1.2 - Solve simple linear inequalities

By the end of the lesson, learners can:

Solve simple linear inequalities of the form x + a ≥ b, x - a < b, ax + b > c, and a < b - x where a, b and c are integers, using the balancing method.
Apply the rule of reversing the inequality sign when multiplying or dividing both sides by a negative number.
Check solutions to linear inequalities by substituting values back into the original inequality.
Represent solutions to linear inequalities on a number line.
Translate a simple word problem into a linear inequality and solve it.

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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: B8.2.3.1.2 - Solve simple linear inequalities
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. 121
Transcribed from the official NaCCA publication. Check this page against the source.

E.g.1 Use the idea of balancing to solve simple linear inequalities.

i. 2x - 13 > 29 v. x - 4 > 1
ii. 4x - 9 > -5 vi. 10 - x < 12
iii. 14 < 8 - 2x vii. x - 3 ≥ 2
iv. 3x ≤ 8 + x viii. 2x - 5 ≤ 35 - x