 Hello and welcome to the session. In this session we will discuss the following question and the question says show the inequality minus 2 is less than equal to x is less than 3 on a number line. Let's start the solution now. We are given the inequality minus 2 is less than equal to x is less than 3 which means that minus 2 is less than or equal to x and x is less than 3. This implies x is greater than equal to minus 2 and x is less than 3. Now we have to show this on a number line. Let us first draw the number line. So this is our number line and we have to show all the values of x which are greater than or equal to minus 2 but less than 3 on this number line. Let us first mark the numbers minus 2 and 3 on the number line. Now this is minus 2 and this is the number 3. Now all the values which are to the right of minus 2 are greater than minus 2 and the values which are to the left of 3 are less than 3. So this thick shaded line represents all the values of x which are greater than or equal to minus 2 and less than 3. Here the fill circle means minus 2 is included and the open circle at 3 means 3 is not included. So the shaded part of the number line represents the inequality minus 2 is less than equal to x is less than 3. With this we end our session. Hope you enjoyed the session.