All Algebra II Resources
Example Questions
Example Question #26 : Solving Inequalities
Solve for .
 SubtractÂ
 on both sides.
 DivideÂ
 on both sides.
Example Question #27 : Solving Inequalities
Solve for .
 SubtractÂ
 on both sides.
 DivideÂ
 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 .
 SubtractÂ
 on both sides. When adding with another negative number, we just add the numbers and put a minus sign in front.
 DivideÂ
 on both sides. When dividing with another negative number, our answer is positive. Also, FLIP the sign.Â
Example Question #29 : Solving Inequalities
Solve for .
 MultiplyÂ
 on both sides.
Example Question #68 : Inequalities
Solve for .
 DivideÂ
 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 .
 MultiplyÂ
 on both sides. Remember to FLIP the inequality.
Example Question #32 : Solving Inequalities
Solve for .
 AddÂ
 on both sides.
 MultiplyÂ
 on both sides. Remember to FLIP the inequality sign. If you try to multiply both sides byÂ
, 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 byÂ
, you will change the answer. When dealing with inequalities, distribute first.Â
 AddÂ
 on both sides.
 DivideÂ
 on both sides. Remember to FLIP the inequality sign.
Example Question #34 : Solving Inequalities
Solve for .
 orÂ
 orÂ
 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 forÂ
. We know ifÂ
 isÂ
, this will satisfy the inequality sinceÂ
 is less thanÂ
. Also,Â
 is betweenÂ
. Our final answer isÂ
.
Example Question #35 : Solving Inequalities
 orÂ
 orÂ
 orÂ
 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 forÂ
. We know ifÂ
 isÂ
, this will satisfy the inequality sinceÂ
 is greater thanÂ
. So then we knowÂ
 andÂ
. Our final answer isÂ
 orÂ
.
All Algebra II Resources
