Question

directions
select up to 2 number line button(s) below. click to activate and drag the circles on the number line to graph the answer.
this question is calculator active
graph the solution set for ( 5 ( 6 + 3 x ) + 7 geq 127 )
select a ray. move the point on the ray to the correct place on the number line.

Explanation:

Step1: Solve the inequality

$$\begin{align*} 5(6 + 3x)+7&\geq127\\ 30+15x + 7&\geq127\\ 15x+37&\geq127\\ 15x&\geq127 - 37\\ 15x&\geq90\\ x&\geq6 \end{align*}$$

Step2: Graph the solution on the number - line

Since \(x\geq6\), we use a closed circle (because the inequality is \(\geq\), so \(x = 6\) is included in the solution set) and draw a ray to the right (because \(x\) is greater than or equal to \(6\)).

Answer:

We select the button with a closed circle and an arrow pointing to the right, and place the closed - circle at \(x = 6\) on the number line.