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.
The statement is False because there is a region on the graph where the solutions to both inequalities overlap. Therefore, solutions exist for the system. By graphing the inequalities, we can clearly see that they do intersect and provide valid solutions.
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