Question

can someone help me with this? Choose the correct description of the graph of the compound inequality

2x + 5 > 9 and 5x <= 30

A number line with an open circle on 2, shading to the left, and a closed circle on 6, shading to the right.

A number line with an open circle on 2, a closed circle on 6, and shading in between.

A number line with a closed circle on 2, shading to the left, and an open circle on 6, shading to the right.

A number line with a closed circle on 2, an open circle on 6, and shading in between

Answer 1

Try solving for x in both inequalities and graphing it yourself. Choose which one sounds most accurate to how you graphed it.

Answer 2

\[ \begin{array}{rcr}
\mathbf{2x + 5 > 9} & \text{and} & \mathbf{5x \le 30} \\
\newline
2x > 4 & \text{and} & x \le 6 \\
x > 2 & \text{and} & x \le 6 \\
\end{array} \]

The graph looks something like this, with an open circle at 2 because it does not equal 2, and a closed circle at 6 because we do have "less than or EQUAL to" 6
We shade to the right of 2 for values greater than it, and to the right of 6 for the values smaller than 6.