Question

answer attempt 1 out of 2
2x>4
<

≤
≥
or
inequality notation:
x>2
number line:
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Explanation:

Step1: Solve the inequality \(2x>4\)

Divide both sides of the inequality by \(2\). According to the property of inequalities, when dividing both sides of an inequality by a positive number, the direction of the inequality sign remains unchanged. So we have \(x > \frac{4}{2}\).

Step2: Simplify the right - hand side

Calculate \(\frac{4}{2}=2\), so \(x>2\).

Answer:

The inequality notation is \(x > 2\). On the number line, we draw an open circle at \(x = 2\) (because \(2\) is not included in the solution set) and draw an arrow to the right (since \(x\) is greater than \(2\)).