Question

Докажите,что если а>4,b>5,то ab +6>26

Answer 1

Ab>4*5=20    ab+6>26 -------------------------------------------

Answer 2

To prove that if `a > 4` and `b > 5`, then `ab + 6 > 26`, we can follow these steps:

Step 1: Given the conditions `a > 4` and `b > 5`, we can assume that `a` and `b` are positive integers.

Step 2: We need to prove that `ab + 6 > 26`. To simplify the equation, let's subtract 6 from both sides: `ab > 20`.

Step 3: Since `a` and `b` are positive integers, the smallest values they can take are 5 and 6 respectively, since `a > 4` and `b > 5`. Thus, the smallest possible value of `ab` is `5 * 6 = 30`.

Step 4: Since `ab` is greater than 30, `ab` is definitely greater than 20. Therefore, `ab > 20` is true.

Step 5: Consequently, if `a > 4` and `b > 5`, then `ab + 6 > 26` is also true.

Therefore, we have proved that if `a > 4` and `b > 5`, then `ab + 6 > 26`.