 Hello and welcome to the session. My name is Mansi and I'm going to help you with the following question. The question says, solve the inequalities and represent the solution graphically on number line. 5x plus 1 is strictly greater than minus 24 and 5x minus 1 is strictly less than 24. In this question we have to solve the given inequalities and we have to represent them graphically on the number line. Now let us start with this question. Here we are given two inequalities. They are 5x plus 1 is strictly greater than minus 24 and 5x minus 1 is strictly less than 24. Now we see the first inequality is 5x plus 1 is strictly greater than minus 24 or we can say 5x plus 1 minus 1 is strictly greater than minus 24 minus 1 or 5x is strictly greater than minus 25 or x is strictly greater than minus 5. Now the inequality is 5x minus 1 is strictly less than 24 or 5x minus 1 plus 1 is strictly less than 24 plus 1. Now this can be further written as 5x is strictly less than 25 or x is strictly less than 5. Hence the values of x satisfying both the inequalities are given by x is strictly less than 5 and is strictly greater than minus 5. Therefore the solution set is minus 5 5 where minus 5 and 5 are both not included. Now let us see the graphical representation of the solution on the number line. We see that this is the number line and the interval we want is minus 5 to 5. So this blue line represents the solution set and this is our answer to this question. So I hope you understood the question and enjoyed the session. Have a good day.