Question

Solve for x: 4 - (x + 2) < −3(x+4)Ox<-7O x>-7Ox<-9Ox>-9

Answer 1

Let's simplify the following inequality:

`\text{ 4 - \lparen x + 2\rparen < -3\lparen x + 4\rparen}`

We get,

`\text{ 4 - \lparen x + 2\rparen < -3\lparen x + 4\rparen}`
`\text{ 4 - x - 2 < -3x - 12}`
`\text{ -x + 3x < -12 - 4 + 2}`
`\text{ 2x < -14}`
`\text{ }\frac{\text{ 2x}}{\text{ 2}}\text{ < }\frac{\text{ -14}}{\text{ 2}}`
`\text{ x < -7}`

Therefore, the answer is CHOICE A : x < -7