 Hello and welcome to the session, my name is Mansi and I am going to help you with the following question. The question says, solve the inequalities and represent the solution graphically on number line 5 into 2x minus 7 minus 3 into 2x plus 3 is less than equal to 0 and 2x plus 19 is less than equal to 6x plus 47. In this question first we have to solve the given inequalities and then we have to represent the solution graphically on the number line. So let us start with the solution to the shind. Here we are given two inequalities, the first inequality is 5 into 2x minus 7 minus 3 into 2x plus 3 is less than equal to 0 or 10x minus 35 minus 6x minus 9 is less than equal to 0 or 4x minus 44 is less than equal to 0 or 4x is less than equal to 44 or x is less than equal to 11. Now we see the second inequality is 2x plus 19 is less than equal to 6x plus 47 or minus 4x plus 19 is less than equal to 47 or minus 4x is less than equal to 28 or x is greater than equal to minus 7. Hence the values of x satisfying both the inequalities are given by minus 7 is less than equal to x is less than equal to 11 or we can say that solution set is minus 7 11 in the closed interval that means minus 7 and 11 are included. So this is our answer to this question. Now let us see the representation of the solution set on the number line. Now we see that this is the number line and the required solution set is minus 7 to 11 where minus 7 and 11 are included. So this is our solution set. I hope you understood the question and enjoyed the session. Have a good day.