Question

# Which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by sqrt 7x² A. x < -1 B. x > -1 C. x < 1 D. x > 1

Answer

D. x > 1.

- Q:What is the quotient of sqrt 21(x-1) divided by sqrt 7x²? A: sqrt 21(x-1) / sqrt 7x² = sqrt(3(x-1))/(x*sqrt(3))
- Q:What values of x make the denominator 0? A: The denominator is 0 when x = 0.
- Q:What values of x make the expression undefined? A: The expression is undefined when the denominator is 0, so x = 0 is not defined. All other values of x will make the expression defined.
- Q:Which inequality represents all values of x for which the quotient is defined? A: The quotient is defined for all values of x except x=0, so the answer is D. x > 1.