Ontario · Grade 8
G8.C2.4
Grade 8 — Solve inequalities that involve integers, and verify and graph the solutions.
A note on this mapping: The Grade 9 de-streamed course has no expectation for solving an inequality — it only graphs regions (C4.2) — so Ontario finishes this skill in Grade 8.
The 2 skills that cover it
- Linear InequalitiesSolve inequalities the way you solve equations, with one extra rule: multiplying or dividing by a negative flips the sign.Read the lesson →
- Absolute Value & Compound InequalitiesSolve equations with an absolute value by splitting them into two cases, and solve compound inequalities joined by "and" or "or", writing each solution as an interval on the number line.Read the lesson →
What a student should be able to do
- Solve one- and two-step inequalities.
- Flip the inequality sign when multiplying or dividing by a negative.
- Graph a solution set on a number line.
- Write and solve inequalities from constraint word problems.
- Solve |x - a| = b and |ax + b| = c, giving both solutions.
- Solve an "and" compound inequality such as -3 < 2x + 1 <= 7.
- Solve an "or" compound inequality and describe its solution set.
- Solve an absolute value inequality and write the solution as a compound inequality.