Question

Use the roster method to list the set of integers that are common to the solution sets of the two inequalities. (Enter your answers as a comma-separated list.)
5(x + 2) < 4(x + 4)
4(x + 5) > 3(x + 5)

Answer 1

5x + 10 < 4x + 16
x < 6

4x + 20 > 3x + 15
x > -5

\[x \in (-5,6)\]

Answer 2

\[x \in {-4, -3, -2, -1, 0, \cdots, 5}\]

Answer 3

\[x \in \left\{ {-4, -3, -2, -1, 0, \cdots, 5}\right\} \]