Question

13. 4x+3y s60, y 22x, x23, x, y2(0

Answer 1

The inequalities are,

4x+3y≤60, y≥2x, x≥3.

For the inequality,

4x+3y≤60(1)

Put the value x=0 in equation (1),

4( 0 )+3y=60 3y=60 y=20

Put the value y=0 in equation (1),

4x+3( 0 )=60 x=15

For the inequality,

y≥2x(2)

Put the value x=0 in equation (2),

y=2( 0 ) y=0

Put the value y = 0 in equation (2),

0=2x x=0

And for the inequality,

x≥3(3)

Represents the region on the right hand side of the line x=3.

From all the three inequalities the graph is shown as,

Thus, in the graph shaded region represent the graph of the system of the all three inequalities.