2.3 Linear Inequalities

• Linear inequalities in one unknown
• Linear inequality in two unknowns

• solve linear inequalities in one unknown
• represent linear inequalities in one unknown graphically
• represent linear inequality in two unknowns graphically
• apply linear inequalities to real-life situations
• reflect on the use of linear inequalities in real life

“How do we represent linear inequalities in graphs?”

“How do we use linear inequalities in real-life situations?”

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1. Inequality statements from real sharing
   40 min · 1 practice tasks · quiz
   Turn sentences about limits into inequalities, using the four signs correctly.
2. Solving inequalities in one unknown
   40 min · 1 practice tasks · quiz
   Solve an inequality as you would an equation: do the same thing to both sides.
3. When the sign must be turned round
   40 min · 1 practice tasks · quiz
   Multiplying or dividing both sides by a negative number reverses the inequality sign.
4. Showing the answer on a number line
   40 min · 1 practice tasks · quiz
   Draw the boundary with an open or filled circle, then shade every value that satisfies the inequality.
5. Inequalities in two unknowns
   40 min · 1 practice tasks · quiz
   Draw the boundary line, decide solid or dashed, then test a point to see which side to shade.
6. Inequalities where things must be shared
   40 min · 1 practice tasks · quiz
   Use inequalities on real limits: budgets, loads and shares, and discuss what the region means.