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QUESTION IMAGE

solve for $x$ and graph the solution on the number line below. $7x\\geq…

Question

solve for $x$ and graph the solution on the number line below.
$7x\geq - 28$
answer attempt 1 out of 3
$<\quad>\quad\leq\quad\geq\quad or$
inequality notation:
number line:

Explanation:

Step1: Isolate \(x\)

Divide both sides of the inequality \(7x\geq - 28\) by \(7\).
$$\frac{7x}{7}\geq\frac{-28}{7}$$

Step2: Simplify

Simplify the left - hand side \(\frac{7x}{7}=x\) and the right - hand side \(\frac{-28}{7}=-4\).

Answer:

Inequality Notation: \(x\geq - 4\)

To graph on the number line: Place a closed circle at \(-4\) (because the inequality is \(\geq\)) and shade to the right of \(-4\).