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Question
Solve each of the following inequations graphically using XY-plane:
- 11x - 55 ≤ 0
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Solution
Consider the line whose equation is - 11x - 55 ≤ 0 i.e. x = -5
This represents a line parallel to Y-axis passing through the point `(-5, 0)`
Draw the line x = - 5
To find the solution set, we have to check the position of the origin (0, 0).
When x = 0, - 11x - 55 = - 11(0) - 55 = - 55 > 0
∴ the coordinates of the origin does not satisfy the given inequality.
∴ the solution set consists of the line x = -5 and the non-origin side of the line which is shaded in the graph.
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