 Hello and welcome to the session. In this session, we are going to discuss how to interpret statements of inequality as statements about their relative positions. For this, first of all, we should know what an inequality is. Inequality is a condition of being unequal or uneven. Now we see Jen and John are two friends. Jen is 5 feet tall and John is 5 feet and 2 inches tall. Now if we need to check who is taller, obviously the answer will be John is taller. How could you make out that John is taller? Here height of John is 5 feet and 2 inches and height of Jen is 5 feet. So height of John that is 5 feet 2 inches is greater than height of Jen that is 5 feet. So here we have 5 feet and 2 inches is greater than 5 feet and this is the inequality related to this situation as there is a greater than sign used and here the sign of inequality is greater than the symbols that is less than, greater than, less than or equal to, greater than or equal to in place of equal sign in expressions of inequalities. Now look at this sign that is the greater than sign of inequality. Its mouth is open towards the quantity which is greater and it's close towards the smaller quantity. Here as 5 feet and 2 inches is greater so the mounted sign is open towards 5 feet and 2 inches and close towards 5 feet. Let us take one more example. Suppose there are two teams playing a rugby match that is blue team and red team. Blue team scores 7 goals and red team scores 5 goals and we need to find out which team wins and here we see that 7 is greater than 5 and this is an inequality that compares the two quantities that is the number of goals scored by each team for this as 7 is greater than 5 so we can say blue team scores more goals than red team hence blue team wins. Let us see how can we use a number line to interpret which is greater. For this we draw a number line with positive numbers on the right of 0 and negative numbers on the left of 0. Now here is the number line with positive numbers on the right of 0 and negative numbers on the left of 0 and now we mark 0.5 and 0.7 on the number line and we see that 5 lies to the left of 7 therefore 5 is less than 7 so when we compare two numbers on the number line the numbers lying to the left are smaller that is the numbers lying to the left smaller. Now if we consider two integers that is minus 1 and 2 where do they lie on the number line minus 1 and 2 here we see that minus 1 lies to the left of 2 therefore minus 1 is less than 2 we can also say as 2 lies to the right of minus 1 therefore 2 is greater than minus 1 similarly if we want to compare two negative integers like minus 4 and minus 1 and we need to find which is greater first we shall mark these points on the number line and here we have minus 4 and minus 1 and we see that minus 4 lies to the left of minus 1 therefore minus 4 is less than minus 1 so here we have seen that how can we use our number line to interpret which is greater this completes our session hope you enjoyed this session