Solve. Write the solution set in interval notation. (Enter EMPTY or Ø for the empty set.)

Question

Solve. Write the solution set in interval notation. (Enter EMPTY or Ø for the empty set.)5x < −5 and x − 2 < 2

Answer 1

***** On the off-chance that the question was asking about the solution set to the joining of the two cases where

           5X < -5    and ALSO    X - 2 < 2

******** then you are looking for the domain where

                x ε ( - ∞ , -1 ) and also X ε ( - ∞ , 4 )

*********** The range of X ε ( - 1 , 4 ) is not valid as it is excluded by the first set so the answer would be

                         X ε ( - ∞ , -1 )

 

Otherwise, Parviz F. was definitely right.

Answer 2

 5X < -5         X < -1

 

 

    x ε ( - ∞ , -1 )

 

 

    X - 2 < 2

 

     X < 4

 

    X ε ( - ∞ , 4 )