SATMathematics Practice Test 1

Subtracting $3\mathit{x}$ and adding 3 to both sides of $3\mathit{x}-5\ge 4\mathit{x}-3$ gives $-2\ge \mathit{x}$.
Therefore, x is a solution to $3\mathit{x}-5\ge 4\mathit{x}-3$ if and only if x is less than or equal to $-2$ and x is NOT a solution to $3\mathit{x}-5\ge 4\mathit{x}-3$ if and only if x is greater than $-2$.
Of the choices given, only $-1$ is greater than $-2$ and, therefore, cannot be a value of x.
Choices B, C, and D are incorrect because each is a value of x that is less than or equal to $-2$ and, therefore, could be a solution to the inequality.