 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that the given number line represents an interval, write the interval in, interval notation and set notation. Now let us start with the solution of the given question. Here we are given a number line that represents an interval. Now let us write this interval in interval notation. On this number line we can see this red shaded portion from minus 2 to 6. It means all the real numbers ranging from minus 2 to 6 are included in the interval. Here we can see at minus 2 we have a dark filled circle. It means minus 2 is included in the interval and at 6 we have a hollow circle which means that this point is not included in the interval. Now for included point that is minus 2 we use square bracket and for excluded point that is 6 we use round bracket. So from the given number line we get the interval as semi closed interval from minus 2 to 6. We know that in this notation the end points used are always written from left to right that is the smaller number is written first followed by comma and then the larger number. Thus the interval notation for the given interval is semi closed interval from minus 2 to 6. Now let us discuss about set notation. In set notation we write the given interval as a set of points from the given number line from minus 2 to 6. We have set of all real numbers greater than equal to minus 2 and less than 6. So for the given interval set notation is set of all real values of x such that x is greater than equal to minus 2 and less than 6. Here less than equal to sign indicates that minus 2 is included in the interval and less than sign indicates that 6 is not included in the interval. So this is the required set notation for the given number line. This completes our session. Hope you enjoyed this session.