Does the number 1.98 belong to the interval (− ∞ , 2)? find two numbers greater than 1.98 that also belong to that interval. is it possible to find the greatest number that belongs to that interval? is it possible to find the smallest number on that interval? if it is possible, find it.

The interval (− ∞ , 2) includes all negative numbers AND all positive numbers less than 2.

We have to see if 1.98 belongs to the interval

Since 1.98 < 2, then yes it belongs to the interval

Now, we have to find 2 numbers greater than 1.98 that also belong to the interval.

Now we have to increase the decimal points of 1.98 such that the resulting number is less than 2. One such number can be 1.98+0.01 = 1.99. The other number can be 1.98+0.001=1.981. Hence, there can be infinite such numbers

Next, we have to check if it is possible to find the greatest number that belongs to that interval. No it is not, because we can put infinite number of digits after the decimal point in 1.99 such that the resulting number is still less than 2.

Similarly, it is not possible to find the smallest number on the interval, as we can put as many digits in a negative number, to make it lower than the previous number.

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

4 puzzles in 3 hours

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