Algebra II : Basic Single-Variable Algebra
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Example Questions
Example Question #36 : Solving Inequalities
Solve for x:
First subtract 4 from both sides to isolate the variable:
Next divide both sides by -2. Flip the inequality when dividing or multiplying by a negative number.
Example Question #32 : Solving Inequalities
Solve the following inequality:
No solution
To simply this you must get the x-variable by itself. The first step is to bring the 10 to the other side by subtraction.
So:
The next step is to divide by negative one, the important part of this is to flip the sign from ">" to "<"
So:
Example Question #271 : Basic Single Variable Algebra
Solve the following inequality:
This is a two-step inequality where you need to isolate "y." To do this you must first subtract 2 from both sides and then divide by negative one.
Upon doing this you get:
The sign needs to be flipped because you are dividing by a negative number.
Example Question #272 : Basic Single Variable Algebra
Solve for x:
To solve the inequality, we must first multiply both sides of the inequality by -3. Doing this flips both of the inequalities because we are multiplying by a negative number:
Now, subtract 5 from both sides:
Note that rewriting it in this way is a little more clear than simply subtracting 5 from both sides and not changing anything!
Example Question #2114 : Algebra Ii
Solve:
To solve, we must first multiply each side by -1. Multiplying (or dividing) by the negative flips the inequality sign:
Now, we isolate x by multiplying by 5 and adding 1 to both sides:
Example Question #41 : Solving Inequalities
Solve the inequality:
Add nine on both sides.
Simplify both sides.
Divide by two on both sides.
It is not necessary to change the sign.
The answer is:
Example Question #42 : Solving Inequalities
Solve the inequality:
Subtract 4 from both sides of the equation.
Simplify both sides.
Divide both sides by negative three. Since we are dividing by a negative number, we will need to switch the direction of the sign.
The answer is:
Example Question #273 : Basic Single Variable Algebra
Solve the inequality:
Add three on both sides.
Simplify both sides.
Divide by negative eight on both sides. Since we are dividing by a negative sign, the inequality sign will switch directions.
Reduce both fractions.
The answer is:
Example Question #44 : Solving Inequalities
Solve:
In order to isolate the x-variable, first subtract five from both sides.
Simplify both sides.
Divide by negative six on both sides. Remember to switch the sign since we are dividing by a negative number.
The answer is:
Example Question #45 : Solving Inequalities
Solve the inequality:
Add 
Add seven on both sides.
Divide by 11 on both sides.
The answer is:
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