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Solve each of the following inequations graphically using XY-plane: y ≤ - 3.5 - Mathematics and Statistics

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Question

Solve each of the following inequations graphically using XY-plane:

y ≤ - 3.5

Sum
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Solution

Consider the line whose equation is y ≤ - 3.5 i.e. y = - 3.5

This represents a line parallel to X-axis passing3through the point `(0, - 3.5)`

Draw the line y = - 3.5

To find the solution set, we have to check the position of the origin (0, 0).

∴ the coordinates of the origin does not satisfy the given inequality.

∴ the solution set consists of the line y = - 3.5 and the non-origin side of the line which is shaded in the graph.

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Linear Programming Problem (L.P.P.)
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Chapter 7: Linear Programming - Miscellaneous exercise 7 [Page 243]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
Chapter 7 Linear Programming
Miscellaneous exercise 7 | Q II) 1) iv) | Page 243

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