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Question
Solve each of the following inequations graphically using XY-plane:
5y - 12 ≥ 0
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Solution
Consider the line whose equation is 5y - 12 ≥ 0 i.e. y = `12/5`
This represents a line parallel to X-axis passing3through the point `(0, 12/5)`
Draw the line y = `12/5`
To find the solution set, we have to check the position of the origin (0, 0).
When y = 0, 5y - 12 = 5(0) - 12 = - 12 > 0
∴ the coordinates of the origin does not satisfy the given inequality.
∴ the solution set consists of the line y = `12/5` and the non-origin side of the line which is shaded in the graph.
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