No, there are not, and here's why: to solve for this kind of problem, you will need to set both equations equal to each other. This will give you y - 5x + 2 = y - 5x - 3, You can subtract a y and a -5x from both sides, and this will leave you with 2 = -3, which is, of course, an impossibility. There are therefore no solutions to these inequalities.
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Systems of inequalities in n variables with create an n-dimensional shape in n-dimensional space which is called the feasible region. Any point inside this region will be a solution to the system of inequalities; any point outside it will not. If all the inequalities are linear then the shape will be a convex polyhedron in n-space. If any are non-linear inequalities then the solution-space will be a complicated shape. As with a system of equations, with continuous variables, there need not be any solution but there can be one or infinitely many.
A system of equations can have any number of inequalities.
No because the discriminant is less than zero.
Just one.
It needs to have an equality or equality signs to have solutions for it.Without any equality signs the given expression can't be considered to be an equation although it might be possible to simplify it.