determine witch number is a solution of the inequality

Question

1+f <7;5,6,7

Answer 1

1+f <7

5,6,7

 

There are two good methods:

   (1)  substitute the value for f into the inequality and determine whether it is true:

            1 + 5 < 7   ?

                6 < 7   ?TRUE

 

             1 + 6 < 7   ?

                 7 < 7   ?False

 

             1 + 7 < 7   ?

                8 < 7   ?False

 

     (2)  isolate f on one side of the inequality, then check possible values of f:

             1+f < 7

                f < 6      [we may subtract +1 from both sides and retain sense of inequality]

 

            Is  5<6   ?TRUE

            Is  6<6   ?False

            Is  7<6   ?False

Answer 2

Inequalities can generally be solved just like regular equations (unless you're dividing by a negative sign!): 

So to solve for f: 1+f<7

subtract by 1 on both sides to cancel the 1.

f<6

Therefore, your answer must be 5 because it is the only solution that is less than 6 (remember, it cannot be equal to 6 in this case!).

Message me if you have further questions.

Answer 3

1 + f < 7

1 + 5 < 7 yes or no?

1 + 6 < 7 yes or no?

1 + 7 < 7 yes of no?