Question

1. $-x - 1 > 3x + 1$

Explanation:

Step1: Move x terms to left side

$-x - 3x - 1 > 1$

Step2: Move constants to right side

$-x - 3x > 1 + 1$

Step3: Combine like terms

$-4x > 2$

Step4: Divide by -4, reverse inequality

$x < \frac{2}{-4}$

Step5: Simplify the fraction

$x < -\frac{1}{2}$

Answer:

$x < -\frac{1}{2}$