Identify the solution set for - (x - 3) + 4 < 5 - 2x.
(- ∞ , 0 ); (- ∞ , -1 ); (- ∞ , -2 ); (- ∞ , -5 )

Solution:

Given: - (x - 3) + 4 < 5 - 2x.

Solve the inequality by removing the bracket.

- x + 3 + 4 < 5 - 2x

Add 2x on both sides

- x + 2x + 7 < 5 - 2x + 2x

x + 7 < 5

Subtract 7 from both sides

x + 7 - 7 < 5 - 7

x < - 2.

Identify the solution set for - (x - 3) + 4 < 5 - 2x.
(- ∞ , 0 ); (- ∞ , -1 ); (- ∞ , -2 ); (- ∞ , -5 )

Summary:

The solution set for - (x - 3) + 4 < 5 - 2x is x < - 2 (- ∞ , -2).