In solving inequalities, the goal is to find the value of X that will satisfy the inequality. For example, given the equation 9(2x + 1) < 9x – 18, we need to find the value of X that will make the inequality true. The first step in solving an inequality is to simplify both sides of the equation as much as possible. In this case, we can start by distributing the 9 on the left side to get: 18x + 9 < 9x – 18 Next, we can simplify the right side by adding 18 to both sides: 18x + 9 < 9x Then, we can subtract 9x from both sides to isolate the variable: 9x + 9 < 0 Finally, we can subtract 9 from both sides to get the value of X: 9x < -9 X < -1 Therefore, the solution to the inequality 9(2x + 1) < 9x – 18 is X < -1. This means that any value of X less than -1 will make the inequality true. In conclusion, solving inequalities requires simplifying both sides of the equation and isolating the variable to find the value that satisfies the inequality. With practice, anyone can become proficient in solving inequalities and finding the value of X.