The  points (x,3) satisfies the inequality , -5x-2y\leq13, find the smallest possible value of  x?

  • Option 1)

    -1.4

  • Option 2)

    1.4

  • Option 3)

    -3.8

  • Option 4)

    3.8

 

Answers (1)

As we learnt in 

Corner Point Method -

This method of solving a LPP graphically is based on the principle of extreme points theorem.

-

 

     -5x -2y \leq 13

\Rightarrow -5x \leq 13+2y

\Rightarrow -5x \leq 13+2 \times 3

                  \leq13+6

      -5x \leq 19

             x \geqslant \frac{19}{5}

       x \geqslant -3.8

\therefore minimum value of x is = -3.8


Option 1)

-1.4

Incorrect

Option 2)

1.4

Incorrect

Option 3)

-3.8

correct

Option 4)

3.8

Incorrect

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