Let (x,y) satisfied three simultaneous inequalities

x+y more or equal to 1, 3y more than or equal to 2x-1, 3x more than or equal to 2y
a. sketch the range of (x,y)
b. Find the bound of x and y
c. Find the maximum value of y-2x

…..(ans)

Let (x,y) satisfied three simultaneous inequalities

$x+y geq 1\ 3ygeq 2x-1 atau 2x-3y leq 1\ 3x geq 2y atau y leq frac{3}{2} x$

a. gambar di bawah
garis merah untuk $x+y geq 1$
garis hijau untuk $2x-3y leq 1$
garis biru untuk $y leq frac{3}{2} x$
himpunan penyelesaian daerah yg diarsir kuning