Question

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y > +8 y > -32-4 Point: Submit Answer

Answer 1

now plot the points on graph and join it to get required graph.

AS we know a straight lime can be drawn from two points. so to plot inequalities plot two points for each inequality for y = x+8 them, put y=0 then, y = = a +8 =) 0 = m+8 =) -8= ne put nao = 148 =) y = 0+8 19=8 the refore, points are (-8,0) and (0,8) for, y> - 300 - 4 put i=0 them, y = (-3x0) -4 5 - put y=0 them, O = (-3x)-4 => 4= - 30 3. n --- therefore, points are (0-4) and (-3,0)

also straight line represent that values on line is includes due to presence of = sign in inequality and dotted line represent points on line not included as due to absence of = sign in inequality.

now, a point in solution set is (0,8).

15 10. (0, 8) 5. -10 -5 0 5 --5- --10-