Question

match the tiles with the indicated numbers or parts of the number line. remember that intervals indicated can be represented as a pair of numbers. parentheses show that the endpoints are excluded.

Explanation:

Step1: Identify single - point values

Single - point values are of the form $x = a$. Here $x=-7$ is the value at the left - most marked single point, $x = 2$ is the middle marked single point and $x = 3$ is the right - most marked single point.

Step2: Identify intervals

Intervals are represented as $(a,b)$. The left - most interval from $-12$ to $- 7$ (excluding endpoints) is $(-12,-7)$. The interval from $-7$ to $2$ (excluding endpoints) is $(-7,2)$. The interval from $3$ to positive infinity is $(3,\infty)$. The interval from $-2$ to $3$ (excluding endpoints) is $(-2,3)$.

Answer:

From left - to - right on the number line:
$(-12,-7)$ corresponds to the left - most blue rectangle.
$x=-7$ corresponds to the first marked single point.
$(-7,2)$ corresponds to the second blue rectangle.
$x = 2$ corresponds to the second marked single point.
$(3,\infty)$ corresponds to the third blue rectangle.
$x = 3$ corresponds to the third marked single point.
$(-2,3)$ corresponds to the right - most blue rectangle.