Algebra-1

To solve the compound inequalities 4x - 5 < -21 or 3(2x - 1) > 3, we need to solve each inequality separately and then find the union of the two.

Solve the first inequality 4x - 5 < -21:

4x - 5 < -21

4x - 5 + 5 < -21 + 5 (add 5 to both sides)

4x < -16

4x/4 < -16/4 (divide both sides by 4)

x < -4

Solve the second inequality 3(2x - 1) > 3: