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

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

### 2 Answers by Expert Tutors

Tiffany L. | Easy to Understand Science and Math TutorEasy to Understand Science and Math Tuto...
4.7 4.7 (41 lesson ratings) (41)
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***** 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.

5x < −5 AND x − 2 < 2, so the solution set contains all x-values that satisfy BOTH inequalities; i.e., x ∈ ( - ∞ , -1 ). Tiffany's right.
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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5X < -5         X < -1

x ε ( - ∞ , -1 )

X - 2 < 2

X < 4

X ε ( - ∞ , 4 )