solve the three part inequality & write the answer in interval notation?

2015-09-21 4:44 pm
-4<3x-1<8

回答 (2)

2015-09-21 5:07 pm
- 4 < 3x - 1 < 8 → you add 1

- 4 + 1 < 3x - 1 + 1 < 8 + 1 → you simplify

- 3 < 3x < 9 → you divide by 3

- 3/3 < 3x/3 < 9/3 → you simplify

- 1 < x < 3

→ x Є ] - 1 ; 3 [
2015-09-21 4:50 pm
Do the same steps you'd do if it weren't a compound inequality except you're "balancing the scale" with 3 parts instead of just two. First, add 1 to all three portions, then divide all three portions by 3. Your goal is to end up with just the "x" in between the symbols. Once that's done, just use the two values on the ends in your ( , )


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