The solution of a system of linear equations consists of specific points where the equations intersect, typically yielding a unique point, infinitely many points, or no solution at all. In contrast, the solution of a system of linear inequalities represents a region in space, encompassing all points that satisfy the inequalities, often forming a polygonal shape in two dimensions. While equations define boundaries, inequalities define areas that can include multiple solutions. Thus, the nature of their solutions differs fundamentally: precise points versus expansive regions.
equations have an = sign, inequalities do not
"What is the difference between inequalities and equations" is a question, not a statement. A question cannot be true or false. It can be pointless, or badly phrased or misguided but that is a different matter.
One important difference between solving equations and solving inequalities is that when you multiply or divide by a negative number, then the direction of the inequality must be reversed, i.e. "less than" becomes "greater than", and "less than or equal to" becomes "greater than or equal to".Actually, from a purist's sense, the reversal rule also applies with equations. Its just that the reversal of "equals" is still "equals". The same goes for "not equal to".
An inequality with "and" is true if BOTH inequalities are true. Inequality with "or" is true if ONE of the inequalities are true.
The main difference is that when solving inequalities, if you multiply or divide by a negative number you have to be careful, since you then also have to switch the sign (for example, change a "less-than" sign to a "greater-than" sign). If you multiply or divide by an expression that contains a variable, you have to consider the two cases: that such an expression might be positive, or that it might be negative.
equations have an = sign, inequalities do not
"What is the difference between inequalities and equations" is a question, not a statement. A question cannot be true or false. It can be pointless, or badly phrased or misguided but that is a different matter.
equality does not change signs inequalities do for greater than or less than equations
One important difference between solving equations and solving inequalities is that when you multiply or divide by a negative number, then the direction of the inequality must be reversed, i.e. "less than" becomes "greater than", and "less than or equal to" becomes "greater than or equal to".Actually, from a purist's sense, the reversal rule also applies with equations. Its just that the reversal of "equals" is still "equals". The same goes for "not equal to".
An inequality with "and" is true if BOTH inequalities are true. Inequality with "or" is true if ONE of the inequalities are true.
expressions don't have an equal sign and equations do
What is the difference between normal saline solution and ringer's lactate solution?
The main difference is that when solving inequalities, if you multiply or divide by a negative number you have to be careful, since you then also have to switch the sign (for example, change a "less-than" sign to a "greater-than" sign). If you multiply or divide by an expression that contains a variable, you have to consider the two cases: that such an expression might be positive, or that it might be negative.
Expressions cannot be solved. Only equations or inequalities may be solved. Also, there is no symbol between 3i and 5.
whats the difference between solving an inequality by algebriac vs graphical
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
Yes. An equation has an "=" sign.