Question
Solve graphically : 2y – 5 ≥ 0
✓
Answer
Consider the line whose equation is $2 y-5=0$, i.e. $y=\frac{5}{2}$
This represents a line parallel to $X$-axis passing through the point $\left(0, \frac{5}{2}\right)$.
Draw the line $y=\frac{5}{2}$.
To find the solution set, we have to check the position of the origin (0, 0). When y = 0, 2y – 5 = 2 × 0 – 5 = -5 ≱ 0 ∴ the coordinates of the origin does not satisfy the given inequality.
$\therefore$ the solution set consists of the line $y=\frac{5}{2}$ and the non-origin side of the line which is
shaded in the graph.
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