Question

question
solve for ( x ) and graph the solution on the number line below.
( 4x geq 16 )
answer attempt 1 out of 2

inequality notation: ( x geq 4 )
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 \(x\geq4\).

For graphing on the number line:

• Place a closed circle at \(x = 4\) (because the inequality is \(\geq\), so \(4\) is included in the solution set).
• Shade to the right of \(4\) (since \(x\) is greater than or equal to \(4\)).

Answer:

Inequality Notation: \(x\geq4\)

For the number line: A closed circle at \(4\) and shading to the right.