Solve for x. Graph the solution.

Question

- 5/3 x <= - 5

Answer 1

To solve the inequality - 5/3 x <= - 5, we need to isolate x.

First, we can multiply both sides of the inequality by -3 to remove the fraction:

(-3) * (-5/3 x) >= (-3) * (-5/1)
15/3 x >= 15

Simplifying further:

5x >= 15

Next, we divide both sides of the inequality by 5:

5x/5 >= 15/5
x >= 3

So the solution to the inequality is x >= 3.

To graph this solution on a number line, we draw a closed circle at 3 to represent that 3 is included in the solution, and draw an arrow to the right to represent all the numbers greater than or equal to 3.

-|=======(3]=====>

Here, the closed circle at 3 indicates that 3 is included in the solution, and the arrow to the right shows that all the numbers greater than or equal to 3 are also included in the solution.