This is quite similar to solving equations. Here is an example:
4x > x - 9
Subtract "x" on both sides:
3x > -9
Divide by 3:
x > -3
The main precaution is that if you multiply by a negative number, you MUST invert the inequality! Here is another example:
3x > 5x + 10
Subtract "5x" on both sides:
-2x > 10
Divide by (-2); note that the inequality MUST be turned around in this case:
x < -5
A calculator can be used to proportions to answer a equation. This is easier to solve when having variables on both sides.
You first have to get rid of the numbers that don't have variables. then you divide by the variable and solve for it.
The variables may have different values.
In the same wasy as you solve equations except that if you multiply or divide both sides by a negative number, then the inequality changes direction.
Lets just say that the inequality is 3x+7 ≤ 13 so then you subtract 7 from both sides so that one side only has variables 3x ≤ 6 then divide each side by 3 to get x... x ≤ 2 c:
A calculator can be used to proportions to answer a equation. This is easier to solve when having variables on both sides.
First, get the radical by itself. Then, square both sides of the equation. Then just solve the rest.
e.g. 50>5x Divide both sides by five. 10>x
You first have to get rid of the numbers that don't have variables. then you divide by the variable and solve for it.
-85-6x=91+2x
The variables may have different values.
You decide to solve for one of the variables, for example, for "y". What exactly you do would depend on how the variables are related. For example, if you have:x + y = 5 and you want to solve for "y", you subtract "x" on both sides. If you have a product, such as: xy = 10 you divide both sides by "x".
They both have variables.
In simple cases such as these, you can solve inequalities just like an equation. In this case, you add 3 to both sides.
In the same wasy as you solve equations except that if you multiply or divide both sides by a negative number, then the inequality changes direction.
Lets just say that the inequality is 3x+7 ≤ 13 so then you subtract 7 from both sides so that one side only has variables 3x ≤ 6 then divide each side by 3 to get x... x ≤ 2 c:
Solving inequalities and equations are the same because both have variables in the equation.