For what values of x will the following inequality hold true $3 | a - 1 | + a^{2} - 7 > 0$ ?

(-∞,-5) U(2,∞)

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(-∞,-1) U (2,∞)

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(-∞,-1)U (4,∞)

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(-∞,-5)U(4,∞)

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Solution

The correct option is B
(-∞,-1) U (2,∞)

Let a = 3. the inequality holds good as 3(2)+9-7 $>$ 0
Options c $&$ d are eliminated.
Let a= -2, the inequality holds good as 3(3)+4-7 $>$ 0
Option a is eliminated
Answer = b

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