Solve the system of two linear inequalities graphically. y≤2x−3
y>−6x+9 Find the region with points that satisfy both inequalities. Select the region you wish to be shaded A, B, C or D
To solve the system of two linear inequalities graphically, we will first graph each inequality separately and then identify the region where the graphs overlap.
Graph of y ≤ 2x - 3:
To graph this inequality, start by plotting the line y = 2x - 3, which has a y-intercept at -3 and a slope of 2. Since we have a ≤ sign, the region below this line (including the line itself) is shaded. Label this region as region A.
Graph of y > -6x + 9:
To graph this inequality, start by plotting the line y = -6x + 9, which has a y-intercept at 9 and a slope of -6. Since we have a > sign, the region above this line (excluding the line itself) is shaded. Label this region as region B.
To find the region that satisfies both inequalities, we need to find the overlapping region between regions A and B. This overlapping region is labeled as region C.
Shaded region: C