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Inequality Problem for Graphing?
An exam consists of two parts, Section X and Section Y. There can be a maximum of 90 questions. There must be atleast 5 more questions in Section Y than is section X. Write a system of inequalities to model the number of questions in each of the two sections. Then solve by graphing.
The answer I got was (42.5, 47.5) Is that right? If not, can you tell me what the right answer would be because I know I graphed it correctly, but I just can't read it?
2 Answers
- Marley KLv 79 years agoFavorite Answer
system:
x + y ≤ 90
x + 5 ≤ y
graph the lines:
y = -x + 90
y = x + 5
on the first line, y=-x+90, shade below the line
and on the second line, y=x+5, shade above the line
your solution is the area where the shaded parts intersect. The solution you got, (42.5,47.5) is only one of many solutions -- and not one that would be used since it's unlikely there would be 0.5 questions.
Examples of solutions can be seen by looking at the graph:
(0,90) for example, or even (0,5) fit the conditions.
Look at the graph and look for whole numbers in the double shaded area.
There is no one solution.
that's it! ;)
- ?Lv 44 years ago
First, graph the equation as though the less than sign is an equals sign. 2d, %. a factor, any factor, on the two component of the line. (often (0,0) is the least complicated one to apply.) enter the coordinates of this comparable factor into the equation, with the unique much less-than sign. If the equation is valid for the factor, colour the component of the line(or curve) that consists of the factor. If no longer, colour the different component of the line (or curve).