Multiple choice

Consider the equation ${ x }^{ 2 }+\alpha x+\beta =0$ having roots $\alpha ,\beta $ such that $(\alpha \neq \beta )$. Also consider the inequality $\parallel y-\beta |-\alpha |<\alpha $, then

  1. Inequality is satisfied by exactly two integral values of y
  2. Inequality is satisfied by all values of $y\in (-4,2)$

  3. Roots of the equation are of same sign
  4. ${ x }^{ 2 }+\alpha x+\beta =>0\quad \bigvee x\in [-1,0]$
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