Consider the following statement. For all positive real numbers r and s, vr + Str + VS. Some of the sentences in the following scrambled list can be used in a proof by contradiction for the statement. But this is a contradiction because r and s are positive. Simplifying the equation gives 0 = 2V75 | But this is a contradiction because r and s are negative. Squaring both sides of the equation gives r + s = r + 2yrs + s. Squaring both sides of the equation gives r + s = r + 2rs + s. By the zero product property, at least one of vror vs equals 0, which implies r or s equals 0. Construct a proof by contradiction of the statement by using the appropriate sentences from the list and putting them in the correct order. 1. Suppose not. That is, suppose there exists positive real numbers r and s such that r + s = ✓r + VS. 2. But this is a contradiction because r and s are positive. 3. ---Select--- 4. ---Select--- 5. --Select--- 6. Thus we have reached a contradiction and have proved the statement.