Question

solve for $x$ and graph the solution on the number line below.
$36 \leq 4x$
answer attempt 1 out of 3
$<LXB0\leqLXB1or$
inequality notation:
number line:

Explanation:

Step1: Isolate the variable \(x\)

Divide both sides of the inequality \(36\leq4x\) by \(4\).
$$\frac{36}{4}\leq\frac{4x}{4}$$

Step2: Simplify the inequality

Simplify \(\frac{36}{4}\) to \(9\) and \(\frac{4x}{4}\) to \(x\).
$$9\leq x$$
Which can be rewritten as \(x\geq9\)

Answer:

Inequality Notation: \(x\geq9\)

For the number - line: Draw a number line. Place a closed circle (because the inequality is \(\geq\)) at \(x = 9\) and draw an arrow to the right (since \(x\) is greater than or equal to \(9\)).