 Hello and welcome to the session. In this session we will discuss the following question and the question say solve the in equation minus 12 minus 12x is greater than equal to 2x plus 2. Show the solution set on the number line. Let's start the solution now. The given in equation is minus 12 minus 12x is greater than equal to 2x plus 2 add 12x to both the sides. This implies minus 12 minus 12x plus 12x is greater than equal to 2x plus 2 plus 12x. So the inequality remains the same. Now 12x gets cancelled on the left hand side. So this implies minus 12 is greater than equal to 14x plus 2. Now we subtract 2 from both the sides. So we get minus 12 minus 2 is greater than equal to 14x plus 2 minus 2. Since we are subtracting both the sides with the same quantity. So the inequality remains the same. This implies minus 14 is greater than equal to 14x. Now we divide both sides by 14. So we get minus 1 is greater than equal to x or we can say that x is less than equal to minus 1. So this is the solution for the given in equation. We will now show the solution set on the 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 less than or equal to minus 1 on this number line. Now all the values which are to the left of minus 1 on this number line are less than minus 1. So this thick shaded portion of the number line represents all the values of x which are less than minus 1. This filled circle means minus 1 is included and these three dots indicate that the solution set extends to infinity. Since minus 1 is included in the solution set so we have made a filled circle at minus 1 on the number line. So the solution set is represented by the shaded portion of the number line. With this we end our session. Hope you enjoyed the session.