ACT Math : How to find the solution to an inequality with division
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Example Questions
Example Question #6 : Inequalities
What is a solution set of the inequality 
In order to find the solution set, we solve 
Therefore, the solution set is any value of 
Example Question #183 : Equations / Inequalities
Simplify the following inequality
For the most part, you can treat inequalities just like equations. (It is not exact, as you will see below.) Thus, start by isolating your variables. Subtract 
Next, subtract 
Finally—here you need to be careful—divide by 
Thus, you get:
Example Question #184 : Equations / Inequalities
What is the solution to the given inequality:
When solving an inequality in which you have to mulitiply or divide by a negative number, you must "flip" the direction of the inequality. Other than that, solve it nomrally.
Thus the first and only step we have is to divide by 
Yielding:
Example Question #185 : Equations / Inequalities
Solve the following inequality:
To solve, simply solve as though it is an equation.
The goal is to isolate the variable on one side with all other constants on the other side. Perform the opposite operation to manipulate the inequality.
Only when dividing or multiplying by a negative number, will you have to flip the inequality sign.
Example Question #181 : Equations / Inequalities
Solve the following inequality:
To solve, simply treat it as an equation.
This means you want to isolate the variable on one side and move all other constants to the other side through opposite operation manipulation.
Remember, you only flip the inequality sign if you multiply or divide by a negative number.
Thus,
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