Solve the system of two linear inequalities graphically. 7x+5y<−35

Question

x≥−2 Find the region with points that satisfy both inequalities. Select the region you wish to be shaded A, B, C or D

Answer 1

To graph the inequalities, we will start by graphing the lines associated with each inequality.

For the first inequality, 7x + 5y < -35, we can rewrite it in slope-intercept form as y < -(7/5)x - 7.

For the second inequality, x ≥ -2, we can graph a vertical line at x = -2.

Now let's plot the lines on a coordinate grid:

[Graph of the lines -2]

Next, we want to shade the region that satisfies both inequalities. Since the second inequality is x ≥ -2, we shade to the right of the vertical line.

[Shaded region -2]

Therefore, the region with points that satisfy both inequalities is region A.