Answer:
The smallest value is -8 as a sum of two consecutive odd integers
Which are -5 and -3
Step-by-step explanation:
Let the first odd number is x, then the second odd number is x + 2
∵ The sum of them is more than -12
∴ x + (x + 2) > -12
∴ 2x + 2 > -12
∴ 2x > -12 - 2
∴ 2x > -14 ⇒ ÷ two sides by 2
∴ x > -7
∴ x = {-6 , -5 , -4 , -3 , -2 , -1 , 0 , 1 , ............}
∵ The numbers are odd
∴ The numbers must be -5 and -3 to give a sum -8 which will make the
statement true
∴ The two consecutive odd numbers are -5 , -3
∴ The smallest value is -8
To check:
∵ -5 + -3 = -8
∵ -8 > -12
∴ The statement is true
