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Question
Solve each of the following inequations graphically using XY-plane:
4x - 18 ≥ 0
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Solution
Consider the line whose equation is 4x - 18 ≥ 0 i.e. x = `18/4 = 9/2 = 4.5`
This represents a line parallel to Y-axis passing3through the point `(4.5, 0)`
Draw the line x = 4.5
To find the solution set, we have to check the position of the origin (0, 0).
When x = 0, 4x – 18 = 4 x 0 – 18 = – 18 > 0
∴ the coordinates of the origin does not satisfy thegiven inequality.
∴ the solution set consists of the line x = 4.5 and the non-origin side of the line which is shaded in the graph.
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