Algebra-1

To solve the compound inequalities x - 1 > 0 and x + 3 < 9, we need to solve each inequality separately and then find the intersection of the two.

Solve the first inequality x - 1 > 0:

x - 1 > 0

x - 1 + 1 > 0 + 1 (add 1 to both sides)

x > 1