The following is known about three real numbers x ,y and z where x is more than or equal to -4 and less than or equal to 4 ; y is more than or equal to -8 and less than or equal to 2 and z is more than or equal to -8 and less than or equal to 2. Then the range of values that M = ( x*z )/ y can take…

Question

The following is known about three real numbers x ,y and z where x is more than or equal to -4 and less than or equal to 4 ; y is more than or equal to -8 and less than or equal to 2 and z is more than or equal to -8 and less than or equal to 2. Then the range of values that M = ( x*z )/ y can take is best represented by :

1.  x is more than negative infinity and less than positive infinity
2. x is more than or equal to -16 and less than or equal to 8
3. x is more than or equal to -8 and less than or equal to 8 
4. x is more than or equal to -16 and less than or equal to 16

Siva Hemanth · Answer

1the max value for xz is 16min value will be -32but x,y,z are real numbers ----> so y can take values like 0.00001.....if the value of y nears to 0 the value of the fraction will go towards infinity

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