How do you solve and write the following in interval notation: $- 12 < 8 - x \leq - 7$ $-12<8-x<=-7$ ?

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Answer 1 · 2017-08-19T17:25:14

See explanation.

$- 12 < 8 - x < - 7$ $-12 < 8-x < -7$

First you subtract $8$ $8$ from all sides.

Next step is to multiply all sides by $- 1$ $-1$ with changing the inequality sign from $<$ $<$ to $>$ $>$

Finally you can write the solution in an interval form: