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1. The document discusses linear inequalities in one variable, including interval notation versus inequality notation and solving single and double inequalities. 2. It provides examples of determining if a value is a solution to an inequality and discusses the rule that the sign of an inequality reverses if multiplying or dividing both sides by a negative constant. 3. An example problem solves the inequality 5x - 7 > 3x + 9, putting the solution in interval notation and graphing it on a number line. It also provides an example of solving a double inequality.
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2) Explaining how to read and determine solutions to linear inequalities in two variables by substituting values. Graphs of inequalities show the solution set as the shaded region.
3) Demonstrating how to graph linear inequalities by plotting the boundary line and shading the correct half-plane based on testing a point. Steps are provided to graph inequalities in slope-intercept and standard form.
4) Presenting examples of solving word problems
Inequalities mathematics grade nine igcse.ppt
- Students learn to represent inequalities on a number line using different signs such as <, ≤, >, ≥.
- They learn to solve inequalities algebraically using the same steps as solving equations, such as adding/subtracting the same number to both sides.
- A key rule is that if multiplying or dividing by a negative number, the inequality sign must be switched (e.g. from < to >).
- Examples of solving multi-step inequalities and real-world word problems are provided to illustrate the concepts and skills.
Solution of linear equation & inequality
The document discusses solving linear equalities and inequalities with one variable. It defines key terms like equations, inequalities, and linear equations. It then provides steps for solving different types of linear equations and inequalities by collecting like terms, adding/subtracting the variable term to one side, and multiplying/dividing both sides by constants. The document also explains how to graph solutions to inequalities on a number line, indicating open and closed circles based on the inequality symbols. Examples are provided of solving and graphing various linear equalities and inequalities with one variable.
3 1 the real line and linear inequalities-x
The document discusses inequalities and the real number line. It explains that real numbers are associated with positions on the real number line, with positive numbers to the right of zero and negative numbers to the left. An inequality relates the positions of two numbers on the real number line, with the number farther to the right said to be greater than the number to its left. The document provides examples of inequalities and how to represent sets of numbers using inequalities, such as all numbers between two values a and b. It also outlines steps for solving inequalities algebraically.
GRADE 1O FMATHS WEEK 5 Powerpoint p.pptx
The document discusses solving and graphing linear inequalities in one variable. It reviews different types of inequalities such as less than, greater than, less than or equal to, and greater than or equal to. It provides examples of writing and graphing various inequalities using open or closed circles depending on the symbol. Tips are given for solving linear inequalities, such as getting the variable alone on one side and changing the inequality symbol if multiplying or dividing by a negative number. Practice problems are shown with step-by-step solutions for solving and graphing three sample inequalities.
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119 Powerpoint 1.7
- 4. B. Determine if x = 3 is a solution to the inequality