How do you solve $5<x-10 <8$ ?

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Answer 1 · 2017-10-18T22:55:23

X is greater than 15 but less than 18.

You would have to isolate x by adding 10 to all three parts of the inequality. So,
$5+10<x-10+10<8+10$
$15<x<18$

Answer 2 · 2017-10-18T22:55:45

$15 < x < 18$

First, add 10 to all parts of the inequality.

$5 < x - 10 < 8$

$5 + color(red)10 < x - 10 + color(red)10 < 8 + color(red)10$

$15 < x < 18$

This gives us an inequality directly in terms of $x$ , so it is solved!

Final Answer

How do you solve 5<x-10 <85<x-10 <8?