whats the inequalties and graph of 2x > -6 and x - 4 < 3

Question

just work out the problem and submit the inequalities and graph.

Answer 1

Given inequalities are 2x > -6 and x-4 < 3

Draw the coordinate plane.

Graph the lines 2x = -6 and x-4 = 3.

To find which region is shading substitute the origin in two inequlities.

0 > -6 and -4 < 3

Above statements are true, So shade the origin containing region.

The boundary line of graph of 2x > -6 is dooted in blue colour which is not include insolution.

The boundary line of graph of x-4 < 3 is dotted in red colour which is not include insolution.

The soution of the system is the set of orderd pairs in the intersection of the graph of 2x > -6 and

x-4 < 3.

This region is shading light purple colour.