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