Question

Which number is NOT a solution to the inequality 14n − 46 ≤ 2(7 − 8n) ?

Answer 1

(a)4

Explanation:

First you would distribute the 2 within the parentheses and it becomes 14n-46 <= 14-16n. Then you would find the smallest coeficent and do the inverse operation so you would have to add 16n to 14n and get 30n. Your equation is now 30n-46<=14. Now you want to isolate the variable by doing the inverse operation of -46. You would then add 46 to positive 14 and get 60. Your eqaution now is 30n<=60. Your last step is to divide 30 on each side which leaves you with n<=2.

2 is less than or equal to 2

-2 is less than or equal to 2

-4 is less than or equal to 2

4 is NOT less than or equal to 2 it is GREATER

Hopefully, that helps.