How do you solve the inequality 6<x−6≤8?

1 Answer
Júlio B.
Dec 28, 2015

12<x<14

Explanation:

When we talk about inequalities, its necessary for us to split it in two parts: ?<x and x<?.
In this case, we first have 6<x−6 that becomes 12<x by passing the −6 to the other side of the inequality.
Then, we solve the second part: x−6<8 that becomes x<14 by passing the −6 to the other side of the inequality.
Now, we just need to join both parts, creating 12<x<14.

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