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Solve the inequality -9 > 2x.

Full solution

Q. Solve the inequality 9>2x-9 > 2x.
  1. Identify Inequality and Goal: Identify the inequality and the goal.\newlineWe want to find the values of xx that satisfy the inequality -9 > 2x.
  2. Isolate Variable xx: Isolate the variable xx on one side of the inequality.\newlineTo do this, we divide both sides of the inequality by 22.\newline-\frac{9}{2} > \frac{2x}{2}
  3. Perform Division: Perform the division to simplify the inequality.\newline-4.5 > x\newlineThis means that xx must be less than 4.5-4.5.
  4. Write Solution in Interval Notation: Write the solution set in interval notation.\newlineThe solution set is all real numbers less than 4.5-4.5, which can be written as (,4.5)(-\infty, -4.5).