Question

Solve the inequality and graph the solution.
7+4h≤3

Answer 1

To solve the inequality \( 7 + 4h \leq 3 \), we will isolate the variable \( h \).

1. Subtract 7 from both sides:

\[
4h \leq 3 - 7
\]

\[
4h \leq -4
\]

2. Now, divide both sides by 4:

\[
h \leq -1
\]

So the solution to the inequality is \( h \leq -1 \).

### Graphing the Solution

On a number line:

- Draw a solid dot (or a filled circle) at \(-1\) to indicate that \(-1\) is included in the solution.
- Shade the line to the left of \(-1\) to represent that all numbers less than or equal to \(-1\) are part of the solution.

Here's a visual representation:

```
<----●================>
-2 -1 0 1
```

The shaded area extends leftwards from \(-1\) towards negative infinity.