 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 following inequality. Minus 12 is less than 4 minus 3x by minus 5 is less than equal to 2. In this question we need to solve the given inequality. So let us start with the solution to this question. We solve the inequality minus 12 is less than 4 minus 3x by minus 5 is less than equal to 2 or we can say minus 12 is less than 4 plus 3x by 5 less than equal to 2 because here we take the negative sign to the numerator and this becomes 4 plus 3x by 5. Now we can multiply it throughout by 5 and this gives us minus 60 is less than 20 plus 3x is less than equal to 10. Now in this inequality we can take this 20 to this side as well as to this side. So we get minus 60 minus 20 is less than 3x is less than equal to 10 minus 20. This implies minus 8 is less than 3x is less than equal to minus 10 but since we are required to find out x so we divide this entire expression by 3 so that we get the range for x. So we divide throughout by 3 and we have minus 80 by 3 is less than x is less than equal to minus 10 by 3. Hence solution set is the interval minus 80 by 3 to minus 10 by 3 where minus 80 by 3 is not included but minus 10 by 3 is included so it's closed from this side but open from this side because here we see that there is no sign of equality but here we see that x is less than equal to minus 10 by 3. So this becomes our answer to this question. I hope that you understood the question and enjoyed the session. Have a good day.