## Proof Exercise #2 Continuation 4

Yes.

Since p is the square root of x, we can replace p^2 by x, and since q is the square root of y, we can

replace q^2 by y.

We now have the inequality, "0 is less than or equal to x - 2pq + y.

What, from the list below, do you think, will be our next step?

choice #1: Subtract x + y from both sides of the inequality.

choice #2: Subtract -2pq from both sides of the inequality.

choice #3: Take the cube root of each side of the inequality.

choice #4: Square both sides of the inequality.

choice #5: Add 2pq to both sides of the inequality.

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Since p is the square root of x, we can replace p^2 by x, and since q is the square root of y, we can

replace q^2 by y.

We now have the inequality, "0 is less than or equal to x - 2pq + y.

What, from the list below, do you think, will be our next step?

choice #1: Subtract x + y from both sides of the inequality.

choice #2: Subtract -2pq from both sides of the inequality.

choice #3: Take the cube root of each side of the inequality.

choice #4: Square both sides of the inequality.

choice #5: Add 2pq to both sides of the inequality.

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