2.3 Linear Inequalities

• Inequality symbols: greater than, less than, greater than or equal to, less than or equal to
• Completing inequality statements using symbols and cards
• Simple linear inequalities in one unknown
• Illustrating simple inequalities on a number line
• Whole-number solutions of a simple inequality
• Compound linear inequalities in one unknown
• Illustrating compound inequalities on a number line
• Linear inequalities in Kenyan real-life: age, fees, speed, class size

• apply inequality symbols to inequality statements in learning situations
• form simple linear inequalities in one unknown in different situations
• illustrate simple inequalities on a number line
• form compound inequality statements in one unknown in different situations
• illustrate compound inequalities in one unknown on a number line
• appreciate the use of linear inequalities in real-life

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

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

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1. Inequality symbols
   40 min · 1 practice tasks · quiz
   Read and write >, <, ≥ and ≤, and tell them apart from the equals sign of linear equations.
2. Completing inequality statements
   40 min · 1 practice tasks · quiz
   Place a symbol card so a number sentence is true, using class counts, fares and simple sums.
3. Form simple linear inequalities
   40 min · 1 practice tasks · quiz
   Turn age, pocket money, speed and class-count stories into one-unknown inequalities such as a > 12 and p ≤ 50.
4. Simple inequalities on a number line
   40 min · 1 practice tasks · quiz
   Draw an open or closed circle and a ray so that a simple inequality can be read from the graph.
5. Solutions of a simple inequality
   40 min · 1 practice tasks · quiz
   Undo addition or subtraction to rewrite an inequality, list whole-number solutions, and check them on the number line.
6. Form compound inequalities
   40 min · 1 practice tasks · quiz
   Write two bounds on one unknown, such as 16 ≤ g ≤ 20 for girls in a class, with the smaller number on the left.
7. Compound inequalities on a number line
   40 min · 1 practice tasks · quiz
   Draw two circles and shade only the overlap so 3 ≤ x < 8 becomes a segment, not two infinite rays.
8. Inequalities in real life
   40 min · 1 practice tasks · quiz
   Use inequalities for speed, fees, age and fair class counts, and say why a band is more honest than a single equals sign.