-4 is less than or equal to b, but b is less than 2.
Think of the sign as a crocodile's mouth (it kind of looks like it) - it always eats the bigger number.
So for 2 < 5 - it eats five because it's bigger.
I have an inequality -4 < b < 2
How I read it, -4 is equal to or less than b, and b is greater than 2
or should it read; - 4 is equal to or less than b, and b is less than 2
If this inequality was on a number line, where would "b" be represented?
Thanks
David
If it is written like that it means -4 <= b (which is the same as b >= -4) and b < 2. So your second version "- 4 is equal to or less than b, and b is less than 2" is correct.
On a number line b would be somewhere between -4 and 2 or it could also be equal to -4.
Looking at the graph and the typical answers I am given, it appears that I could still be wrong?
If -4 < b < 2 then looking at the number line my answer could well be;
-4 -3 -2 -1 0 1 2
But the typical answers given are;
-1 0 1
-4 -3 -2 -1
-5 -4 -3 -2 -1
-5 -4 -3 -2 -1 0 1
-1 0 1 2
Kind of gets a bit confusing?
What exactly is being asked for?
If you are looking for all the given sets of numbers for which each of their elements satisfy the condition -4 =< b < 2,
then I would say that the answer is both: {-1, 0, 1} and {-4, -3, -2, -1}.
Thanks for your input into this problem, however what you advise about can't quite be right based on the answers we are given, which are;
-1 0 1
-4 -3 -2 -1
-5 -4 -3 -2 -1
-5 -4 -3 -2 -1 0 1
-1 0 1 2
Only one of the above can be the correct answer, I am not 100% sure, but based on the question -4 < b < 2, then looking at the list above of possible answers, only -4, -3, -2, -1 seems to fit the inequality, but as always I am open to any other explanations.
Thanks
David
I seem to have had my fair share of misunderstanding with this question, which after reading the quote above and re-reading the question again, I have now seen something different?
Select the two lists of integer values of "b" in which the values satsify the inequality -4 < b < 2
-1, 0, 1
-4, -3, -2, -1
-5, -4, -3, -2, -1
-5, -4, -3, -2, -1, 0, 1
-1, 0, 1, 2
I think that the following are the correct answers;
-4, -3, -2, -1
-5, -4, -3, -2, -1, 0, 1
Anybody disagree
Thanks
David