Somewhat, but the rules are a bit different for inequalities. Example.
-2X > 4
X < - 2
See, sign changes when dividing by negative coefficient.
Algebraic inequalities can be solved in the same fashion as algebraic equations. The goal here, as in algebraic equations, is to isolate the variable. The one thing to remember, however, is that when dividing or multiplying both sides by a negative number, one must switch the inequality sign.
Yes
They are called simultaneous equations.
Yes.
Not quite sure of the direction of the argument required.Any inequality can be made into an equality by using an auxiliary variable. For example,x + 2y < 3 is equivalent to x + 2y - a = 3 where a is some positive variable. [This method is used in linear programming.]Conversely, any equality can be written as a combination of two inequalities. For example,x + 2y = 3 is the same asx + 2y ≤ 3 and x + 2y ≥ 3
They are not. An inequality cannot, by definition, be the same as an equation.
A system of linear inequalities
Algebraic inequalities can be solved in the same fashion as algebraic equations. The goal here, as in algebraic equations, is to isolate the variable. The one thing to remember, however, is that when dividing or multiplying both sides by a negative number, one must switch the inequality sign.
Inequalities and equations are both the same because they are both mathematical expression and they both use the same steps EXCEPT for the end. Inequalities and equations are both different because equations have an equal sign, the answer is not an interval, and the answer is a specific answer. Not a range. While inequalities don't have an equal sign, its answer is an interval, and it's answer is in a range.
Solving inequalities and equations are the same because both have variables in the equation.
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
Basically. If the inequality's sign is < or ≤, then you shade the part under the line. If the inequality's sign is > or ≥, then you shade the part over the line.
If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.
Yes
A system of linear equations.
Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
Linear Algebra is a branch of mathematics that enables you to solve many linear equations at the same time. For example, if you had 15 lines (linear equations) and wanted to know if there was a point where they all intersected, you would use Linear Algebra to solve that question. Linear Algebra uses matrices to solve these large systems of equations.