consider the system of inequalities and its graph.\n$yleq - 0.75x$\n$yleq 3x - 2$\nin which section of the…
consider the system of inequalities and its graph.\n$yleq - 0.75x$\n$yleq 3x - 2$\nin which section of the graph does the actual solution to the system lie?\n1\n2\n3\n4
Answer
Explanation:
Step1: Analyze inequalities
The solution of a system of inequalities is the region where the solution - regions of all inequalities overlap. For (y\leq - 0.75x), the region is below the line (y = - 0.75x). For (y\leq3x - 2), the region is below the line (y = 3x-2).
Step2: Identify overlapping region
By looking at the graph, we find the overlapping region of the two inequalities. The overlapping region of the two shaded - areas (below (y=-0.75x) and below (y = 3x - 2)) is in section 3.
Answer:
3