Represent and interpret inequalities, including on a number line, using open circles for strict inequalities (<, >) and closed circles for inclusive inequalities (≤, ≥). Construct, solve, and interpret linear inequalities such as 3x < 2x + 4 and 3x - 2 < 7. Graphically represent and interpret linear inequalities in two variables, using broken lines for strict inequalities and solid lines for inclusive inequalities, with shading to indicate unwanted regions. List inequalities that define a specified region, excluding linear programming problems.

Quick explanation

Represent and interpret inequalities, including on a number line, using open circles for strict inequalities (<, >) and closed circles for inclusive inequalities (≤, ≥). Construct, solve, and interpret linear inequalities such as 3x < 2x + 4 and 3x - 2 < 7. Graphically represent and interpret linear inequalities in two variables, using broken lines for strict inequalities and solid lines for inclusive inequalities, with shading to indicate unwanted regions. List inequalities that define a specified region, excluding linear programming problems

• This point belongs to Inequalities, especially Inequalities outcomes.
• You need to be able to represent and interpret inequalities, including on a number line, using open circles for strict inequalities (<, >) and closed circles for inclusive inequalities (≤, ≥). Construct, solve, and interpret linear inequalities such as 3x < 2x + 4 and 3x - 2 < 7. Graphically represent and interpret linear inequalities in two variables, using broken lines for strict inequalities and solid lines for inclusive inequalities, with shading to indicate unwanted regions. List inequalities that define a specified region, excluding linear programming problems.
• The key ideas to know are Construct, Determine, and Describe.
• Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.