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

## Answers

## chellzzzmarie

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

## yassautumn

[latex]2 \leq 1 - x \leq 6\\ 1\leq-x\leq5\\ -1\geq x\geq-5\\ x\in\langle-5,-1\rangle [/latex]

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