Shade the region given by the linear inequality `x+2ygt3`

Shade the region given by the inequality xge2

The shaded region in the given figure is

The shaded region in the venn diagram is

The shaded region in the Venn diagram is

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

(i) Find the point at which the circle x^(2) + y^(2) = 32 intersects the positive x-axis. (ii) Shade the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x^(2) + y^(2) = 32 . (iii) Using integration, find the area of the shaded region.

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

Solve the following system of linear inequalities. 3x-9ge0, 4x-10le6.