Question

Determine the compound inequality of the graph below.
A number line includes these numbers: -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6
There is an open circle at -5, a shaded line going all the way to 2, and a closed circle at 2

Answer 1

The graph represents all x between -5 and 2, not including -5 but including 2. So the compound inequality is

-5 < x ≤ 2

or in interval notation: (-5, 2].