Question

Plot the solution to the inequality 10r + 10 < -10 on a number line. Choose whether the solution should be represented as a segment, ray, or line, and mark the endpoints or direction as appropriate. Please provide the complete representation of the solution.

Answer 1

To plot the solution to the inequality 10r + 10 < -10 on a number line, the solution is represented as an open ray to the left of -2.

Step-by-step explanation:

To plot the solution to the inequality 10r + 10 < -10 on a number line, we need to solve the inequality first:

10r + 10 < -10

Subtracting 10 from both sides:

10r < -20

Dividing both sides by 10:

r < -2

The solution to the inequality is r < -2, which means that any value of r less than -2 satisfies the inequality. On a number line, we represent this solution as an open ray to the left of -2, since -2 is not included in the solution.