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Solve the following inequation graphical...

Solve the following inequation graphically: `\ 2x+3ylt=6`

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The correct Answer is:
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Corresponding equation `2x + 3y le 6`
At x = 0, y = 2
At y = 0, x = 3

So the line `2x + 3y = 6` passes through the points (0, 2) and (3, 0). Now draw a line passing through the points (0, 2) and (3, 0) in XY-plane. Put (0, 0 ) in the given inequation
`0 le 6`
`:.` (0, 0) satisfies the given inequation. So we shade that part of the plane, divied by line `2x + 3y 6,` in which (0, 0) lies . In the diagram the line and the shaded region is the requited solution set.
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