26.032000

# Need Help, thanks. 2 < 1 - x < 6

12am
Mathematics
2 4

Need Help, thanks. 2 < 1 - x < 6

#### Answers

yassautumn

[latex]2 leq 1 - x leq 6 1leq-xleq5 -1geq xgeq-5 xinlangle-5,-1 angle [/latex]

Mar 26, 2000 01:29

26.032000

12am
Mathematics
2 4

Need Help, thanks. 2 < 1 - x < 6

yassautumn

[latex]2 leq 1 - x leq 6 1leq-xleq5 -1geq xgeq-5 xinlangle-5,-1 angle [/latex]

Mar 26, 2000 01:29

Move all terms not containing x from the center section of the interval inequality. 2−1<−x<6−1 Subtract 1 from 2 to get 1. 1<−x<6−1 Subtract 1 from 6 to get 5. 1<−x<5 Multiply each term in the inequality by −1. 1⋅−1>−x⋅−1>5⋅−1 Multiply 1 by −1 to get −1. −1>−x⋅−1>5⋅−1 Multiply −x by −1 to get x. −1>x>5⋅−1 Multiply 5 by −1 to get −5. −1>x>−5 Rewrite the interval so that the left-hand value is less than the right-hand value. This is the correct way to write an interval solution. −5