Represent the given numbers and integers on a number line.

Here are the representations of the given numbers and integers on a number line:

Part 1: Represent each of the following numbers on a number line.

• a) -4, -2, 0, 2, 4 Draw a number line with tick marks and labels for integers. Place a solid dot at each of the numbers -4, -2, 0, 2, and 4.

• b) $-2 \le k \le 1$ where $k$ is a real number Draw a number line with tick marks and labels for integers. Place a solid dot at -2 and a solid dot at 1. Draw a thick line segment connecting these two solid dots, indicating all real numbers between and including -2 and 1.

• c) $-5 < y \le -2$ where $y$ is a real number Draw a number line with tick marks and labels for integers. Place an open circle at -5 and a solid dot at -2. Draw a thick line segment connecting the open circle at -5 and the solid dot at -2, indicating all real numbers greater than -5 and less than or equal to -2.

• d) $-2 < x < 4$ where $x$ is a real number Draw a number line with tick marks and labels for integers. Place an open circle at -2 and an open circle at 4. Draw a thick line segment connecting these two open circles, indicating all real numbers strictly between -2 and 4.

Part 2: Represent each of the following integers on a number line under the given conditions.

• a) $-6 < a < -2$ The integers satisfying this condition are $a \in \{-5, -4, -3\}$. Draw a number line with tick marks and labels for integers. Place a solid dot at each of the integers -5, -4, and -3.

• b) $-4 < b < -1$ The integers satisfying this condition are $b \in \{-3, -2\}$. Draw a number line with tick marks and labels for integers. Place a solid dot at each of the integers -3 and -2.

• c) $c < 5$ and $c > -3$ This condition can be written as $-3 < c < 5$. The integers satisfying this condition are $c \in \{-2, -1, 0, 1, 2, 3, 4\}$. Draw a number line with tick marks and labels for integers. Place a solid dot at each of the integers -2, -1, 0, 1, 2, 3, and 4.