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solve for x and graph the solution on the number line below. 2x ≥ -4 an…

Question

solve for x and graph the solution on the number line below.
2x ≥ -4
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Isolate \(x\)

Divide both sides of \(2x\geq - 4\) by \(2\).
$$\frac{2x}{2}\geq\frac{-4}{2}$$

Step2: Simplify

Simplify the left - hand side \(\frac{2x}{2}=x\) and the right - hand side \(\frac{-4}{2}=-2\).
So, \(x\geq - 2\)

Answer:

Inequality Notation: \(x\geq - 2\)
On the number line, you would place a closed circle at \(-2\) (because the inequality is \(\geq\), so \(-2\) is included in the solution set) and draw a line to the right of \(-2\) towards positive infinity.