Because what it's saying is that The distance from zero is less than two. So this means s is X is less than six. If I take the positive side of this X minus four but there could also be a negative version. This negative X minus four and if we plug that into the absolute value will get something positive but this negative thing can still exists on it's still exist on its own. Okay, so negative X is less than negative two.
If I saw this X is greater than two, this is true, this is true. Okay, now just keep going. G negative six Is less than negative, X is less than Okay, this one is a little tricky because remember with inequalities whenever you multiply or divide by a negative you have to flip all the inequality so that's going to turn into this, I multiplied by negative one, that is going to turn into that two.
So this is true, this is exactly what we have up here, right? It's just flipped a little bit so if I switch it around you'll see it's exactly the same as though the one we were given to begin with. Finally E. Negative six. Is oh I made a little mistake here actually. This one should be H. This one is age. So I'm doing this out of order because I copied it down wrong accidentally. This one is going to be G. Is less than two. The difference here is the negative which I missed the first time I read this over.
So sorry about that. But let's just flip G. And H. We're going to do the same thing. We're going to see if this is true. We're gonna flip this sign this way. Going to flip this one this way. Is this true? No this is not true because remember negative X goes between two and six not negative two and six X cannot go that low according to our given expression here that we're governing all this by. In summary. A is not true. B is true, C is true.
Is not true, he is not true. F is true. G is not true and each is true. Classify each of the following statements as either true or false. The so… The so… Determine whether each statement is true or false. If the statement is false… Determine whether each statement is true or false. View Full Video Already have an account?
Anjali K. More Answers Dushyant B. Bobby B. Topics Functions Continuous Functions. Thomas Calculus Chapter 1 Preliminaries.
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