All Algebra II Resources
Example Questions
Example Question #65 : Inequalities
Solve for .
Subtract
on both sides.
Divide
on both sides.
Example Question #66 : Inequalities
Solve for .
Subtract
on both sides.
Divide
on both sides. When dividing with a negative number, our answer is negative. Also, we must FLIP the inequality.
Example Question #28 : Solving Inequalities
Solve for .
Subtract
on both sides. When adding with another negative number, we just add the numbers and put a minus sign in front.
Divide
on both sides. When dividing with another negative number, our answer is positive. Also, FLIP the sign.
Example Question #67 : Inequalities
Solve for .
Multiply
on both sides.
Example Question #68 : Inequalities
Solve for .
Divide
on both sides. When dividing with another negative number, our answer is positive. We also need to FLIP the inequality sign.
Example Question #2101 : Algebra Ii
Solve for .
Multiply
on both sides. Remember to FLIP the inequality.
Example Question #31 : Solving Inequalities
Solve for .
Add
on both sides.
Multiply
on both sides. Remember to FLIP the inequality sign. If you try to multiply both sides by
, you will have the wrong answer. When dealing with inequality equations, always multiply or divide the positive number in front of the variable.
Example Question #31 : Solving Inequalities
Solve for .
Distribute. If you decide to divide both sides by
, you will change the answer. When dealing with inequalities, distribute first.
Add
on both sides.
Divide
on both sides. Remember to FLIP the inequality sign.
Example Question #34 : Solving Inequalities
Solve for .
or
or
Anytime you exponents in inequalities, you need to think of ranges of values that are acceptable. Remember, when an exponent is squared, negative values are also acceptable since two negatives multiplied are positive. We take the square root of both sides.
Now, we need to know how to make the range for
. We know if
is
, this will satisfy the inequality since
is less than
. Also,
is between
. Our final answer is
.
Example Question #31 : Solving Inequalities
or
or
or
Anytime you exponents in inequalities, you need to think of ranges of values that are acceptable. Remember, when an exponent is squared, negative values are also acceptable since two negatives multiplied are positive. We take the square root of both sides.
Now, we need to know how to make the range for
. We know if
is
, this will satisfy the inequality since
is greater than
. So then we know
and
. Our final answer is
or
.
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