All Algebra II Resources
Example Questions
Example Question #25 : Solving Inequalities
Solve for .
Subtract on both sides.
Divide on both sides.
Example Question #26 : Solving 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 #27 : Solving Inequalities
Solve for .
Multiply on both sides.
Example Question #28 : Solving 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 #31 : Solving Inequalities
Solve for .
Multiply on both sides. Remember to FLIP the inequality.
Example Question #32 : 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 #33 : 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 #32 : 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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