True or false, there is no solution to the systems of inequalities shown below

Mathematics

2 answers:

miss Akunina [59]3 years ago

8 0

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.

WARRIOR [948]3 years ago

4 0

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.

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I’m still stuck on this

kicyunya [14]

Using the frequency table, you can roughly imagine the how the histogram/graph of the values will look in your head. The closer you are to 0, the higher the frequencies, so the higher bars that you graph. As you get further away, the frequencies get smaller, so the bars you graph will also be shorter. The graph will look something similar to middle graph in the picture I attached.

So now its time to match the look of the graph to the types of distributions you have. It's clearly not uniform/bell-shaped (those are the same thing) because its not symmetrical like the graph on the left in the picture I attached. It's not left-skewed like the graph on the right because our graph is higher on the left. That leaves right-skewed as the correct answer.

In right-skewed distributions, the mean is typically greater than the median. You also could have tackled the problem by finding the mean and the median, but the way above is faster.