Determine the region in the plane determined by the inequalities.
`x le 3y, x ge y`

Determine the region in the plane determined by the inequalities. y ge 2x, -2x + 3y le 6.

Determine the region in the plane determined by the inequalities. 2x + y ge 8, x + 2y ge 8, x + y le 6.

Determine the region in the plane determined by the inequalities. 2x + 3y le 6, x + 4y le 4, x ge 0 , y ge 0 .

Determine the region in the plane determined by the inequalities. x - 2y ge 0, 2x - y le - 2, x ge 0, y ge 0.

Determine the region in the plane determined by the inequalities y ge 2x and -2x + 3y le 6 .

x ge 3, y ge 2

Solve the inequality 3x+4y le 12 .

Solve the linear inequalities 2x - 4 ge0 , 3x +9le3

Sketch the regions satisfying the following inequalities: (a) x gt 2 (b) |y| ge 1