Multiple choice

(\text{Solve the following equations and choose the correct option:}\\text{(I) } a^2 + 3a + 2 = 0\\text{(II) } b^2 + 5b + 6 = 0)

  1. If a > b

  2. If a ≥ b

  3. If a < b

  4. If a ≤ b

  5. If a = b or relationship can not be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

a²+3a+2=0 factors to (a+1)(a+2)=0, so a=-1 or a=-2. b²+5b+6=0 factors to (b+2)(b+3)=0, so b=-2 or b=-3. In all cases: a=-1>-2, a=-1>-3, a=-2>-3. Therefore a is always greater than or equal to b.

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