Question: Write an inequality for the graph shown below. Use \( x \) for your variable. \[…

Write an inequality for the graph shown below. Use \( x \) for your variable.

\[ \begin{array}{c} -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 \quad 0 \quad 1 \quad 2 \quad 3 \quad 4 \quad 5 \quad 6 \quad 7 \quad 8 \quad 9 \quad 10 \quad 11 \quad x \\ \hline \end{array} \]

\[ \boxed{\quad} \]

\[ \boxed{<} \quad \boxed{>} \quad \boxed{\leq} \quad \boxed{\geq} \]

Solution

The number line shows an interval with an open circle at \( x = 3 \) and shading to the left. This represents all numbers less than 3, since the open circle indicates that 3 is not included. Thus, the inequality for the graph shown is: \[ x < 3 \]