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I believe that statements 1 and 3 are correct.
Statement 1 is correct because a has a higher value than b, so if you put a negative sign before both of them, -b will be higher, because the higher the value of the number after the negative sign, the lower it is. Suspect a is 14 and b is 10. If you compare -14 and -10, the statement goes like this: -14 < -10.
Statement 2 is incorrect because two numbers squared can’t be the numbers by 2. Suppose a is 7 and b is 3. 7 squared is 49 and 3 squared is 9. 49+9=58, and 7+3=10 and 10x2=20, therefore, Statement 2 is incorrect.
Statement 3 is correct because as we know, a > b, so add c to both of them, it won’t make a difference. Suppose a is 8, b is 5 and c is 2. 8 > 5, and if we add 2 to each, the statement will be: 10 > 7, which doesn’t really change anything. A is still greater then B, even when a is ac and b is bc.