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How does the solution to an inequality differ from the solution to an equation?
The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.
What is an ordered pair to the following solution -x 2y5 and x y1?
If you mean: -x+2y = 5 and x+y = 1 then their values are x = -1 and y = 2
Which ordered pair is a solution to the equation 2x - 4y 18?
There are several solutions....what are the choices you have? Guessing one of them is (1,-4) or possibly (-1,-5). --Algebra 2 Teacher
Could this ordered pair be a solution to this equation y equals 2x -1 1 1?
Yes. Yes, it could. So could (0, -1) or (2, 3). Or, if you want, (x, 2x-1).
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
