Question

solve for x and graph the solution on the number line below.
3≥x−7>1
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Add 7 to all parts of the inequality

$$\begin{align*} 3+7&\geq x - 7+7>1+7\\ 10&\geq x>8 \end{align*}$$

Answer:

$8 < x\leq10$

To graph this on the number line:

• Place an open circle at \(x = 8\) (because \(x>8\), 8 is not included in the solution set).
• Place a closed circle at \(x = 10\) (because \(x\leq10\), 10 is included in the solution set).
• Draw a line segment connecting these two points.