Question

Solve graphically : 2y – 5 ≥  0

Answer 1

Consider the line whose equation is 2y – 5 = 0, i.e. y = `(5)/(2)`
This represents a line parallel to X-axis passing5through the point `(0, 5/2)`
Draw the line y = `(5)/(2)`.
To find the solution set, we have to check the position of the origin (0, 0).
When y = 0, 2y – 5 = 2 x  – 5 = –5 `cancel>=` 0
∴ the coordinates of the origin does not satisfy the given inequality.
∴ the solution set consists of the line y == `(5)/(2)` and the non-origin side of the line which is shaded in the graph.