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Example Questions
Example Question #43 : Equations / Inequalities
Solve this inequality:
First, add to both sides:
, or
.
Then, add 2 to both sides:
, or
Finally, divide both sides by 6 to get the answer:
which simplifies to:
Example Question #1 : How To Find The Solution To An Inequality With Addition
Solve for :
None of the other answers
To solve the inequality, simply move the 's to one side and the integers to the other (i.e. subtract
from both sides and add 9 to both sides). This gives you
.
Example Question #1 : How To Find The Solution To An Inequality With Addition
Solve for :
Subtracting and adding 3 to both sides of the equation of
will give you
. Divide both sides by 2 to get
.
Example Question #3 : How To Find The Solution To An Inequality With Addition
Which value of is in the solution set of the inequality
?
Add and subtract 2 from both sides of
to get
. Then, divide both sides by 3 to get a solution of
. The only answer choice that is greater than 5 is 6.
Example Question #4 : How To Find The Solution To An Inequality With Addition
Find the solution set for :
Note the switch in inequality symbols when the numbers are multiplied by a negative number.
or, in interval notation,
Example Question #1 : How To Find The Solution To An Inequality With Addition
Solve the inequality:
No solution
Combine like-terms on the left side of the inequality: . Next, isolate the variable:
.
Therefore the answer is .
Example Question #2 : How To Find The Solution To An Inequality With Addition
Solve:
None of the other answers are correct.
Subtract 2 from each side:
Example Question #3 : How To Find The Solution To An Inequality With Addition
Solve for :
This inequality can be solved just like an equation.
Add 4 to both sides:
2x > 11
Then divide by 2:
x > 11/2 = 5.5
Example Question #7 : How To Find The Solution To An Inequality With Addition
Solve the inequality:
First, combine like terms on a single side of the inequality. On the right side of the inequality, combine the terms to obtain
.
Next, we want to get all the variables on the left side of the inequality and all of the constants on the right side of the inequality. Add 4 to both sides and subtract from both sides to get
.
Finally, to isolate the variable, divide both sides by 12 to produce the final answer, .
Example Question #4 : How To Find The Solution To An Inequality With Addition
Solve:
To solve , isolate the variable by adding three on both sides.
The correct answer is:
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