LinearProgramming

# 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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