Identify Inequality and Goal: Identify the inequality and the goal.We want to find the values of x that satisfy the inequality -9 > 2x.
Isolate Variable x: Isolate the variable x on one side of the inequality.To do this, we divide both sides of the inequality by 2.-\frac{9}{2} > \frac{2x}{2}
Perform Division: Perform the division to simplify the inequality.-4.5 > xThis means that x must be less than −4.5.
Write Solution in Interval Notation: Write the solution set in interval notation.The solution set is all real numbers less than −4.5, which can be written as (−∞,−4.5).