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Question
Solve graphically: 2x – 3 ≥ 0
Solution
Consider the line whose equation is 2x – 3 ≥ 0, i.e. x = `3/2`
This represents a line parallel to Y-axis passing through the point `(3/2, 0)`.
Draw the line x = `3/2`.
To find the solution set, we have to check the position of the origin (0, 0).
When x = 0, 2x – 3 = 2 × 0 – 3 = – 3 `cancel>=` 0
∴ The coordinates of the origin does not satisfy the given inequality.
∴ The solution set consists of the line x = `3/2` and the non-origin side of the line which is shaded in the graph.
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