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Question
Find the solution set of inequalities 0 ≤ x ≤ 5, 0 ≤ 2y ≤ 7
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Solution
Given inequalities: 0 ≤ x ≤ 5, 0 ≤ 2y ≤ 7
Corresponding equality: x 5, y = `7/2`, x = 0 ......(i.e., Y-axis) and y = 0 ......(i.e., X-axis)
Note that 0 ≤ 5 and 0 ≤ `7/2`
∴ Solution set have line x = 5 parallel to Y-axis passing through the point (5, 0), line y = `7/2` parallel to X-axis passing through `(0, 7/2)`, and origin side of both the lines.
Also, x ≥ 0 and y ≥ 0 represent 1st quadrant
The shaded portion represents the graphical solution.
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