Algebra 1 : Systems of Inequalities
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Example Questions
Example Question #61 : Equations / Inequalities
Solve this inequality:
Not enough information to be determined.
To solve this inequality, we need to separate the constants from the variables so that they are on opposite sides of the inequality.
We can do this by adding (4x+5) to each side and
The constants cancel on the left side, and the variables cancel on the right side.
Then, we divide both sides by 16, to get our final answer:
Example Question #2191 : Algebra 1
Simplify the following inequality:
This is a one-step problem in which all you need to do is add the 
So,
Then simplify to get:
Example Question #63 : Equations / Inequalities
Find all of the solutions to this inequality.
To solve an inequality, isolate the variable on one side with all other constants on the other side. To accomplish this, perform opposite operations to manipulate the inequality.
First, isolate the x by subtracting three from each side.
Whatever operation you do to one side you must do to the other side as well.
This gives you:
The answer, therefore, is 
Example Question #64 : Equations / Inequalities
Solve the inequality:
In order to isolate the 
Simplify both sides of the equation.
The answer is 
Example Question #65 : Equations / Inequalities
Solve the following inequality:
Add both sides by four to isolate the 
Simplify both sides of the equation.
The answer is:
This means that 
Example Question #66 : Equations / Inequalities
Solve for x in the following inequality:
When solving an inequality, we will solve it the same way we would solve an equation. We are solving for x, so we want x to stand alone. In the equation
we want to add 5 to both sides. The inequality symbol does not change. We get
Example Question #2192 : Algebra 1
Find the solution of the inequality:
To isolate the unknown variable, we will need to add 14 on both sides.
Simplify both sides of the equation.
The answer is:
Example Question #2193 : Algebra 1
Solve the inequality:
In order to solve for the unknown variable, add 12 on both sides.
Simplify both sides.
The answer is:
Example Question #69 : Equations / Inequalities
Find the solution: 
To solve this inequality, simply add the variable on both sides. This method eliminates having to divide by negative one on both sides and switch the sign.
This inequality is the same as 
Example Question #70 : Equations / Inequalities
Solve the following inequality:
In order to solve this inequality, we must add six and three on both sides of the inequality to isolate the x-variable.
This will cancel out the terms and leave x by itself on the left side.
The answer is:
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