Final answer:
To solve the given inequality: -49 > 5x - 9 or 5x - 9 > 11, we solve each inequality separately and then find the intersection of their solutions. The solution to the inequality is x > 4.
Step-by-step explanation:
To solve the given inequality, we will solve each inequality separately and then find the intersection of their solutions.
-49 > 5x - 9:
First, we add 9 to both sides: -49 + 9 > 5x - 9 + 9, which gives -40 > 5x.
Then, we divide both sides by 5: -40/5 > 5x/5, which simplifies to -8 > x.
Next, we solve the second inequality: 5x - 9 > 11:
First, we add 9 to both sides: 5x - 9 + 9 > 11 + 9, which gives 5x > 20.
Then, we divide both sides by 5: 5x/5 > 20/5, which simplifies to x > 4.
Therefore, the solution to the inequality is x > 4.