To solve the inequality $-9x < 90$ and provide the solution accurate to the nearest tenth, let's go through the steps:

1. Isolate $x$:
   Divide both sides by $-9$. Remember, when you divide by a negative number, the inequality sign reverses.

   $x > \frac{90}{-9}$

2. Calculate the division:
   $x > -10$

3. Solution:
   The solution to the inequality is $x > -10$.

4. Graphing the solution:
   To graph this inequality:

   • Place an open circle (indicating that -10 is not included) at $-10$.
   • Draw an arrow pointing to the right, indicating all values greater than $-10$.

Would you like further details or have any questions about this solution?

Related Questions:

1. How do we solve inequalities that involve absolute values?
2. What changes occur in an inequality when multiplying or dividing by a negative number?
3. How do we represent inequalities on a number line with inclusive boundaries?
4. What is the difference between open and closed circles in graphing inequalities?
5. How do compound inequalities work, and how can we solve them?

Tip:

Always remember to flip the inequality sign when multiplying or dividing both sides by a negative number.