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Differentiates Linear
Inequalities in Two
Variables From Linear
Equations in Two
Variables
INEQUALITIES vs EQUATION
• Inequality is a mathematical statement
where one expression is not equal to
another while Equation indicates the value
of both mathematical expressions are equal
FORM
Linear equation Linear Inequality
CHARACTERISTIC OF A GRAPH
Linear equation Linear Inequality
Straight line Plane or Half plane
SAMPLE GRAPH
Linear equation Linear Inequality
Graphical Solutions
Linear equation Linear Inequality
Set of Points Region of points bounded
by a line
Graphing Linear Inequalities
Example:
• Convert the inequality to an equation
• Identify the slope and y-intercept and plot
• Identify the type of line you will be using
Types of line
Broken line - ,
Solid line - ,
• Substitute a test point to find the solution (0, 0)
• Shade the area of the solution
Example:
• Convert the inequality to an equation
• Identify the slope and y-intercept and plot
• Identify the type of line you will be using
Types of line
Broken line - ,
Solid line - ,
• Substitute a test point to find the solution (0, 0)
• Shade the area of the solution
Example:
• Convert the inequality to an equation
• Identify the slope and y-intercept and plot
• Identify the type of line you will be using
Types of line
Broken line - ,
Solid line - ,
• Substitute a test point to find the solution (0, 0)
• Shade the area of the solution
Example:
• Convert the inequality to an equation
• Identify the slope and y-intercept and plot
• Identify the type of line you will be using
Types of line
Broken line - ,
Solid line - ,
• Substitute a test point to find the solution (0, 0)
• Shade the area of the solution
Example:
• Convert the inequality to an equation
• Identify the slope and y-intercept
• Identify the type of line you will be using
Types of line
Broken line - ,
Solid line - ,
• Substitute a test point to find the solution
• Shade the area of the solution
Example:
• Convert the inequality to an equation
• Identify the slope and y-intercept
• Identify the type of line you will be using
Types of line
Broken line - ,
Solid line - ,
• Substitute a test point to find the solution
• Shade the area of the solution
Example:
• Convert the inequality to an equation
• Identify the slope and y-intercept
• Identify the type of line you will be using
Types of line
Broken line - ,
Solid line - ,
• Substitute a test point to find the solution
• Shade the area of the solution

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differentiates linear inequalities in two variables from linear.pptx

  • 1. Differentiates Linear Inequalities in Two Variables From Linear Equations in Two Variables
  • 2. INEQUALITIES vs EQUATION • Inequality is a mathematical statement where one expression is not equal to another while Equation indicates the value of both mathematical expressions are equal
  • 4. CHARACTERISTIC OF A GRAPH Linear equation Linear Inequality Straight line Plane or Half plane
  • 5. SAMPLE GRAPH Linear equation Linear Inequality
  • 6. Graphical Solutions Linear equation Linear Inequality Set of Points Region of points bounded by a line
  • 8. Example: • Convert the inequality to an equation • Identify the slope and y-intercept and plot • Identify the type of line you will be using Types of line Broken line - , Solid line - , • Substitute a test point to find the solution (0, 0) • Shade the area of the solution
  • 9. Example: • Convert the inequality to an equation • Identify the slope and y-intercept and plot • Identify the type of line you will be using Types of line Broken line - , Solid line - , • Substitute a test point to find the solution (0, 0) • Shade the area of the solution
  • 10. Example: • Convert the inequality to an equation • Identify the slope and y-intercept and plot • Identify the type of line you will be using Types of line Broken line - , Solid line - , • Substitute a test point to find the solution (0, 0) • Shade the area of the solution
  • 11. Example: • Convert the inequality to an equation • Identify the slope and y-intercept and plot • Identify the type of line you will be using Types of line Broken line - , Solid line - , • Substitute a test point to find the solution (0, 0) • Shade the area of the solution
  • 12. Example: • Convert the inequality to an equation • Identify the slope and y-intercept • Identify the type of line you will be using Types of line Broken line - , Solid line - , • Substitute a test point to find the solution • Shade the area of the solution
  • 13. Example: • Convert the inequality to an equation • Identify the slope and y-intercept • Identify the type of line you will be using Types of line Broken line - , Solid line - , • Substitute a test point to find the solution • Shade the area of the solution
  • 14. Example: • Convert the inequality to an equation • Identify the slope and y-intercept • Identify the type of line you will be using Types of line Broken line - , Solid line - , • Substitute a test point to find the solution • Shade the area of the solution