Solve the inequality and graph the solution.

Question

h+18≥14
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 \( h + 18 \geq 14 \), we start by isolating \( h \):

1. Subtract 18 from both sides:

   \[ h \geq 14 - 18 \]

2. Simplifying this gives:

   \[ h \geq -4 \]

So, the solution to the inequality is

\[ h \geq -4 \]

Graphing the Solution

1. Plot the Endpoint:

   • The endpoint of the solution is \( -4 \). Since the inequality is inclusive (greater than or equal), we represent this point with a closed dot at \(-4\).

2. Select an Endpoint to Change from Closed to Open:

   • Let's consider changing \(-4\) to an open endpoint for the purpose of this exercise. However, please note that in the original solution, it's incorrect to do this since \(-4\) should remain closed due to the inclusive nature of equality in the original inequality.

3. Select the Middle of the Segment, Ray, or Line to Delete:

   • Since we are solving for \( h \geq -4 \), we have a ray extending to the right. To illustrate the deletion, we can choose to leave out the segment not represented in the solution. Hence, we would leave open space to the left of \(-4\) which would represent all values less than \(-4\).

Final Graph Representation:

• Draw a number line.
• Put a closed dot at \(-4\).
• Draw a ray extending to the right from \(-4\) (indicating all values greater than or equal to \(-4\)).

If you follow these steps logistically on a number line, it will depict the solution clearly.