Question

Choose the graph below that represents the following system of inequalities.

y greater than or equal to -3x + 1

y greater than or equal to 1 over 2x + 3

Graph of two lines that intersect at one point. Both lines are solid. One line passes through points (-2, 2) and (0, 3) and is shaded above the line. The other line passes through points (0, 1) and (1, -2) and is shaded above the line.

Graph of two lines that intersect at one point. Both lines are solid. One line passes through points (-2, 2) and (0, 3) and is shaded below the line. The other line passes through points (0, 1) and

Answer 1

substitute the points (-2,2) and (0.3) into both lines, they lie on the 2nd line y>=1/2 x + 3

so (0,1) and (1, -2) lie on y>= -3x + 1

draw the lines



as the question says... shade above each line to find the common region that satisfies the inequalities

When graphing inequalities if > or < line is dotted... >= or <= solid...