Question

solve for $x$ and graph the solution on the number line below.
$4x\geq16$
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Isolate the variable \(x\)

Divide both sides of the inequality \(4x\geq16\) by \(4\).
$$\frac{4x}{4}\geq\frac{16}{4}$$

Step2: Simplify

Simplify the left - hand side \(\frac{4x}{4}=x\) and the right - hand side \(\frac{16}{4} = 4\). So, \(x\geq4\).

Answer:

Inequality Notation: \(x\geq4\)

To graph \(x\geq4\) on the number line:

• Place a closed circle at \(x = 4\) (because the inequality includes equality, i.e., \(x\) can be equal to \(4\)).
• Shade to the right of \(4\) (because \(x\) is greater than or equal to \(4\)).