linear inequations with two unknowns

A linear inequation with two unknowns is an algebraic inequality equivalent to one with one of these forms:

Examples:

        3x + 5y – 7 > 0         3(x + 2) ≤ 5(y - 3) + 12

 

To solve these inequations:
 
–We draw the straight line ax + by = c
 
–The line divides the plane in two parts and we have to check which of the parts verifies the inequation.
 
–In the end, we decide if the line is a solution too depending on if the inequation has the equality or not.
 
Example:
 
 
Exercise: solve the following inequations:
 
 
 
 
 
 
 
 
 
 
 
 
Solutions:
a)
 
b)

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