Question

question
express the interval using two different representations.
3,9
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.
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Explanation:

Step1: Understand Interval Notation

The interval \([3, 9]\) means all real numbers \(x\) such that \(x\) is greater than or equal to 3 and less than or equal to 9.

Step2: Write Inequality Notation

Using the symbols \(\leq\) and \(\geq\), we can write this as \(3 \leq x \leq 9\).

Step3: Represent on Number Line

For the number line, we mark a closed circle at 3 (since \(x \geq 3\)) and a closed circle at 9 (since \(x \leq 9\)), then draw a line segment connecting these two points. The number line provided has marks from -12 to 12. So we place closed circles at 3 and 9 and draw the line between them.

Answer:

Inequality Notation: \(3 \leq x \leq 9\)
Number Line: Closed circles at 3 and 9 on the number line (from -12 to 12) with a line segment connecting them.