False Because if you plot a graph to both the equation as i have attached the image.. you can see there can be multiple solution to the above system of inequalities.
False. there are solutions to this system of inequalities. -> For a quick check you can take random x, e.g. consider x=0, and substitute it in the inequality, which gives y<5 and y>4 . there are infinite number of y satisfying these conditions. -> You can solve it graphically to get exact solution. draw the line y=3x+5 and y = -x+4. The common region, below y=3x+5 and above y=-x+4 , is the solution for the system of inequalities.
Line DQ is equal to 7. Since point Q is the centeriod, this means that line DQ will equal the same as line QD. Thus, line QD is 7 making like DQ 7 as well. Hope that helped :))