Let's simplify the following inequality:
[tex]\text{ 4 - \lparen x + 2\rparen < -3\lparen x + 4\rparen}[/tex]We get,
[tex]\text{ 4 - \lparen x + 2\rparen < -3\lparen x + 4\rparen}[/tex][tex]\text{ 4 - x - 2 < -3x - 12}[/tex][tex]\text{ -x + 3x < -12 - 4 + 2}[/tex][tex]\text{ 2x < -14}[/tex][tex]\text{ }\frac{\text{ 2x}}{\text{ 2}}\text{ < }\frac{\text{ -14}}{\text{ 2}}[/tex][tex]\text{ x < -7}[/tex]Therefore, the answer is CHOICE A : x < -7
