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Maths-

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Question

The complete solution set of the equation $open vertical bar x to the power of 2 end exponent minus x close vertical bar plus vertical line x plus 3 vertical line equals open vertical bar x to the power of 2 end exponent minus 2 x minus 3 close vertical bar$ is

$[1, \infty)$
$[- 3, 0] \cup [1, \infty)$
$(- \infty, - 3]$
$(- \infty, - 3] \cup [0, 1]$

The correct answer is: $left parenthesis negative straight infinity comma negative 3 right square bracket union left square bracket 0 comma 1 right square bracket$

$table row cell open parentheses x to the power of 2 end exponent minus x close parentheses left parenthesis x plus 3 right parenthesis less or equal than 0 end cell row cell x left parenthesis x minus 1 right parenthesis left parenthesis x plus 3 right parenthesis less or equal than 0 end cell row cell x element of left parenthesis negative infinity comma negative 3 right square bracket union left square bracket 01 right square bracket end cell end table$

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