Question

write an integer for each situation. (examples 1 and 2)

1. a profit of $9
2. a bank withdrawal of $50
3. 53°c below zero
4. 7 inches more than normal

graph each set of integers on a number line. (example 3)

1. {0, 1, -3}
2. {-5, -1, 10, -9}

Explanation:

Step1: Analyze the number line for set {0,1,−3}

The number line has markings at -3, -2, -1, 0, 1 (from top - down). For the set \(\{0, 1, - 3\}\), we identify the positions:

• \(0\) is at the origin mark.
• \(1\) is one unit to the right of \(0\).
• \(-3\) is three units to the left of \(0\). We place a dot (or mark) at each of these positions on the number line.

Step2: Analyze the number line for set \(\{-5, - 1, 10, - 9\}\)

The second number line has markings at -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10 (from top - down). For the set \(\{-5, - 1, 10, - 9\}\):

• \(-9\) is between -10 and -8 (closer to -10, since \(-9=-10 + 1\)).
• \(-5\) is between -6 and -4 (closer to -4, since \(-5=-6 + 1\)).
• \(-1\) is between -2 and 0 (closer to 0, since \(-1=-2 + 1\)).
• \(10\) is at the mark labeled \(10\). We place a dot (or mark) at each of these positions on the number line.

(Note: Since the problem is about graphing integers on a number line, the key is to correctly identify the position of each integer on the given number lines. The above steps describe the process of locating each integer in the respective sets on their number lines.)

Answer:

For set \(\{0, 1, - 3\}\): Mark \(0\) at the origin, \(1\) at the mark for \(1\), and \(-3\) at the mark for \(-3\) on the first number line.

For set \(\{-5, - 1, 10, - 9\}\): Mark \(-9\) near \(-10\), \(-5\) near \(-4\), \(-1\) near \(0\), and \(10\) at the \(10\) mark on the second number line.

(If we consider the question as just performing the graphing as per the instructions, the answer is the graphical representation as described above. Since the user might expect the description of how to graph, this is the solution.)