To solve the inequality \( 7 + 4h \leq 3 \), we will isolate the variable \( h \).
- Subtract 7 from both sides:
\[ 4h \leq 3 - 7 \]
\[ 4h \leq -4 \]
- 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.