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Solve the following system of inequaliti...

Solve the following system of inequalities graphically
`5x+4ylt=40` ... (1)
`xgeq2` ...(2)
`ygeq3` ...(3)

Text Solution

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Draw the graph of the line `5x + 4y = 40, x = 2 and y = 3`.
Then we note that the inequality (1) represents shaded region below the line `5x + 4y = 40` and inequality (2) represents the shaded region right of line `x = 2` but inequality (3) represents the shaded region above the line `y = 3`.
Hence, shaded region including all the point on the lines are also the solution of the given system of the linear inequalities.
`[XI_06_SLV_13]`
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