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.
There are several solutions....what are the choices you have? Guessing one of them is (1,-4) or possibly (-1,-5). --Algebra 2 Teacher
If you mean: -x+2y = 5 and x+y = 1 then their values are x = -1 and y = 2
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.
Yes. Yes, it could. So could (0, -1) or (2, 3). Or, if you want, (x, 2x-1).
Substitute the values of the ordered pair into the relation. If the equation is valid then the ordered pair is a solution, and if not then it is not.
The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.
1/8
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.
1
y=(-1) x=(2)
-4y=x is the equation of a line and has infinite solutions. Each solution is an ordered pair. We usually write this as (x,y). It is called an ordered pair because we cannot exchange the x and y in general. So (x,y) does not generally equal (y,x).Now in this case, pick any value for x, say 0, and y is 0. The solution (0,0) is one ordered pair.Now, take x=1 and y=-1/4. So (1, -1/4) is another solution.
Although no incomplete ordered pairs have been shown they can be readily solved.If x + y - 1 = 0, then x = 1 - y, also y = 1 - x.From the above formulae for x and y then any omissions can be completed.EXAMPLE : complete the ordered pairs (1) (7, y) and (2) (x, -4)(1) y = 1 - x = 1 - 7 = -6 : The ordered pair is thus (7, -6)(2) x = 1 - y = 1 -(-4) = 5 : The ordered pair is thus (5, -4)
The ordered pair is (1, 3).
(1,2)
If the inequality is > (greater than) or >= (greater than or equal to), then there are an infinite number of solutions. So let the inequality be < (less than) or <= (less than or equal to) x = 1: 5y <= 16 so y = 1, 2 or 3 x = 2: 5y <= 12 so y = 1 or 2 x = 3: 5y <= 8 so y = 1 x >= 4: 5y <= 4 no solution. So whether the inequality is < or <= there are 6 ordered pairs.
There are several solutions....what are the choices you have? Guessing one of them is (1,-4) or possibly (-1,-5). --Algebra 2 Teacher