Question
Solve graphically :2x – 3 ≥ 0
✓
Answer
Consider the line whose equation is 2x – 3 = 0,
i.e. $x=\frac{3}{2}$
This represents a line parallel to $Y$-axis passing through the point $\left(\frac{3}{2}, 0\right)$
Draw the line $x=\frac{3}{2}$.
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 ≱ 0 ∴ the coordinates of the origin does not satisfy the given inequality.
$\therefore$ the solution set consists of the line $x=\frac{3}{2}$ and the non-origin side of the line which is
shaded in the graph.
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