Question

The graph represents the system of inequalities

A. 2x + y is greater than or equal to 3 and y - x is greater than or equal to 2.
B. 2x + y is less than or equal to 3 and y - x is greater than or equal to 2.
C. 2x + y is less than or equal to 3 and y - x is less than or equal to 2.
D. 2x + y is greater than or equal to 3 and y - x is less than or equal to 2.
E. 2x + y is greater than 3 and y - x is less than or equal to 2.

Answer 1

B.
{2x+y≤3;
{(y-x)≥2
...................

Answer 2

Answer with explanation:

The Blue line has,x intercept between 1.5 , and y intercept equal to 3.Also area is Shaded left of this line.So this inequality can be Written as

    $\frac{x}{\frac{3}{2}} +\frac{y}{3}\leq 1\\\\2 x +y \leq 3$

The red line has, x intercept equal to - 2 , and y intercept equal to 2.Also area is Shaded left of this line.So this inequality can be Written as

        $\frac{x}{-2} +\frac{y}{2}\geq 1\\\\ -x+y \geq 2$

Option B

      2 x + y is less than or equal to 3 and y - x is greater than or equal to 2.