Question

question. solve for x and graph the solution on the number line below. -10 > x - 2 > -12. inequality notation: answer. attempt 1 out of 5

Explanation:

Step1: Add 2 to all parts of inequality

Add 2 to - 10, \(x - 2\) and - 12. So, \(-10+2>x - 2+2>-12 + 2\), which simplifies to \(-8>x>-10\).

Answer:

The solution in inequality notation is \(-10 < x < - 8\). To graph on a number - line: Draw a number line. Mark the points - 10 and - 8. Use open circles at - 10 and - 8 (because the inequality is strict, i.e., \(>\) and not \(\geq\)) and shade the region between them.