The solution to the inequality is [–6, 2]. Then the correct answer is option B.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequality is solved as:-
x⁴ + 4x³ ≤ 12x²
x² ( x² + 4x ) ≤ 12x²
x² + 4x ≤ 12
x² + 4x - 12 ≤ 0
x² + 6x - 2x + 12 ≤ 0
Equate the factors to zero.
( x + 6 ) ( x - 2 ) = 0
x =( -6 , 2 )
Hence, the solution is x = ( -6, 2 ).
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