Question

Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.

Answer 1

Answer:

The solution is y = 0.

Explanation:-

Simplifying, sqrt(x)-sqrt(y)>sqrt(x+y)

Now, x and y are positive. Therefore, rHS >0 => Sqrt (x) > sqrt(y)

Also, squaring both the sides, x+y-2sqrt(xy) > x+y => -2sqrt(xy)>0 ====> Impossible for any value of x and y because x and y are positive.

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