Question

2.7 module 2 post-test

what graph matches the compound inequality below?

\\-2 \le 3x - 8 \le 10\\

Explanation:

Solve the compound inequality

Using the Compound Inequalities knowledge point

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Graph the solution set

Using the Graphing Inequalities knowledge point

• The inequality \(2 \le x \le 6\) represents all real numbers between \(2\) and \(6\), inclusive.
• On a number line, this is represented by solid closed circles at \(x = 2\) and \(x = 6\), with a shaded line segment connecting them.
• Comparing the given options:
• The first option shows solid circles at \(2\) and \(6\) with a line segment between them.
• The second option shows solid circles at \(1\) and \(6\) with a line segment between them.
• Therefore, the first option is the correct graph.

Answer:

• (A) A number line with solid circles at 2 and 6, and a shaded line segment between them (Correct answer)
• (B) A number line with solid circles at 1 and 6, and a shaded line segment between them