Solve the inequality and graph the solution.

Question

2r>
–
16
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \( 2r > -16 \), follow these steps:

1. Isolate r: Divide both sides of the inequality by 2: \[ r > -8 \]

2. Graph the solution:

   • The solution \( r > -8 \) means that r is greater than -8.
   • To graph this solution on a number line, you will:
     • Plot the point -8.
     • Since the inequality is strict (greater than), use an open circle at -8 to indicate that -8 is not included in the solution.
     • Shade to the right of -8 to indicate all numbers greater than -8.

Here’s how it looks:

<----o=================>
      -8

In this representation:

• The circle at -8 is open, indicating it is not included in the solution.
• The line extending to the right indicates all numbers greater than -8 are part of the solution.