Kim Z. answered • 09/09/13

Samantha N.

asked • 09/09/13# Solve. Write the solution set in interval notation. (Enter EMPTY or Ø for the empty set.) 3x + 7 < 10 or 6x - 14 > 4

## 5 Answers By Expert Tutors

Isabelle G. answered • 09/09/13

Imtiazur S.

09/09/13

Isabelle G.

09/09/13

Kirill Z. answered • 09/09/13

Bam K.

**or**in the treatment of this

*appearently*simple problem. Semantics do matter in Math! Kirill took in account the two interpretations that can legitimately be attributed to the author of the question through its use of the conditional

**If****.**

*interpretations*of what they really want. I considered the option of satisfying the two inequalities simultaneously, showing through work how to solve separately each inequality.

**The final arbitrator would be the author's intention and question unambiguously stated.**

09/10/13

Imtiazur S.

09/10/13

Bam K. answered • 09/09/13

- 3x + 7 < 10 equivalent to 3x < 10 - 7 that is 3x < 3 which is equivalent to x < 1 (by dividing both sides of the inequation by 3) The partial answer in interval notation is
*x ∈ ( -∞ , 1 )* - 6x - 14 > 4 ==== 6x > 4 + 14 ==== 6x > 18 ==== x > 3 ====
*x ∈ ( 3 , +∞ )*This is the other partial answer. The final answer contains x's that satisfy both partial answers that is**no x !**x ∈ ∅

Imtiazur S. answered • 09/09/13

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Imtiazur S.

09/09/13