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MHT CET20244 May 2024Morning ShiftMathematicsArea Under CurvesActual

The shaded region in the following figure is the solution set of the inequations

Options

  1. Aaligned & x+2 y 6,5 x+3 y 15, x 7, y 6, x , & y 0 aligned
  2. Baligned & x+2 y 6,5 x+3 y 15, x 7, y 6, x & y 0 aligned
  3. Caligned & x+2 y 6,5 x+3 y 15, x 7, y 6, x, & y 0 aligned
  4. Daligned & x+2 y 6,5 x+3 y 15, x 7, y 6, x, & y 0 aligned

Correct answer

A. aligned & x+2 y 6,5 x+3 y 15, x 7, y 6, x , & y 0 aligned

Step-by-step solution

To determine which option corresponds to the shaded region in the figure, let's analyze each inequality represented in the answer choices. Axes and the Region: The region is bounded by the axes x 0 and y 0 , which are present in all options. The other inequalities will help define the upper bounds more clearly. Inequalities Exploration: Option (1): x+2 y 6 (below the line) 5 x+3 y 15 (above the line) x 7 (to the left of the vertical line) y 6 (below the horizontal line) Option (2): x+2 y 6 (above the line) 5 x+3 y

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