How To Solve Inequality Problems

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Sometimes finding a range of possible values for a situation is more appropriate than finding a single value. A speed of 55 might get you some honks and angry gestures, but not a traffic ticket.

When you are driving on a highway and see a “Speed Limit 65” sign, you know that it doesn’t mean you must drive exactly 65 mph. There’s a whole bunch of legal speeds you could drive, not just one.

Try inserting sample values for GRC and HHC and see what happens when each drops to half its value.

The correct relationship is the value of GRC So Ellie’s current age must be at least 11 if she will be able to vote in 7 years.

For instance, imagine that you know two people: Adam and Bernard.

You know that Adam is older than Bernard (although you do not know how much older).(See Solving Equations.) We need to be careful about the sense of the equality when multiplying or dividing by negative numbers.Following are several examples of solving equations involving inequalities.Notice that we are not saying that Ellie is 11 years old now—she could be 11, or she could be 32, or she could be 55.She could be any age as long as that age is 11 or older.In a certain number of years from now, will Adam still be older than Bernard? Adam is older to begin with, and they are aging the same amount.In algebraic fashion, you could represent this inequality as: The age example can help you make sense of this relationship as well: if Adam is older than Bernard now, then five years ago Adam was also older than Bernard (because Bernard was also five years younger).What relationship would she expect to see between the two stocks at the end of Tuesday?the value of HHC on Monday, if both stocks drop to half their value on Tuesday the value of GRC will still be greater than the value of HHC.This follows from the Division Property of Inequality, which states If a the value of HHC on Monday, if both stocks drop to half their value on Tuesday the value of GRC will still be greater than the value of HHC.This follows from the Division Property of Inequality, which states If a Incorrect.

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