The sum of two consecutive odd intergers is more than -12. What is the smallest value that will make the statement true? Write an inequality that can be used to find the smallest value that will make the statement true

Answer:The smallest value is -8 as a sum of two consecutive odd integersWhich are -5 and -3Step-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 -8To check: ∵ -5 + -3 = -8∵ -8 > -12∴ The statement is true