ACT Math : How to find the solution to an inequality with addition
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Example Questions
Example Question #11 : Inequalities
The inequality 
In order to simplify an inequality, we must bring the unknown (
Example Question #161 : Equations / Inequalities
We must put all of the like terms together on either side of the inequality symbol. First, we need to subtract the 
We solve for 
That leaves us with 
Example Question #17 : Inequalities
Solve the following inequality:
To solve an equality that has addition, simply treat it as an equation. Remember, the only time you have to do something to the inquality is when you are multiplying or dividing by a negative number.
Subrtract 4 from each side. Thus,
Example Question #18 : Inequalities
Solve:
First, we want to group all of our like terms. I will move all of my integers to the left side of the inequality.
Since we are not dividing by a negative sign, we do not have to flip the inequality.
Example Question #15 : How To Find The Solution To An Inequality With Addition
Solve:
The first thing that we have to do is deal with the absolute value. We simply remove the absolute value by equating the left side with the positive and negative solution (of the right side). When we include the negative solution, we must flip the direction of the inequality. Shown explicitly:
Now, we simply solve the inequality by moving all of the integers to the right side, and we are left with: 
Example Question #11 : How To Find The Solution To An Inequality With Addition
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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