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#mathematics-grade-11
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The solution set of sgn x-3 =-1is ?
A){x:x<3}
B){x:x>3}
C){x:x<-3}
D){x:x>-3}
?
Anonymous
Oct 29, 2023
The solution set of sgn x-3 =-1is ? A){x:x<3} B){x:x>3} C){x:x<-3} D){x:x>-3} ?
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ChatGPT
Oct 29, 2023
To solve the equation sgn x - 3 = -1, we can first add 3 to both sides of the equation:
sgn x - 3 + 3 = -1 + 3
This simplifies to:
sgn x = 2
The signum function (sgn x) returns -1 if x is negative, 0 if x is zero, and 1 if x is positive. Since we have sgn x = 2, which is not one of the possible outputs of the signum function, there is no solution to this equation.
Therefore, the correct answer is none of the above.
sgn x - 3 + 3 = -1 + 3
This simplifies to:
sgn x = 2
The signum function (sgn x) returns -1 if x is negative, 0 if x is zero, and 1 if x is positive. Since we have sgn x = 2, which is not one of the possible outputs of the signum function, there is no solution to this equation.
Therefore, the correct answer is none of the above.
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