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Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

 

Thank you in advance.

 Mar 19, 2021
 #1
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similar to simplifying equations, we can add and subtract things to both sides in inequalities.

 

so for this inequality, let's start by adding x to both sides.

 

2x+x512

now let's add five to both sides.

 

3x12+5

3x17

 

let's divide both sides by 3.

x173

 

so, in interval notation, the answer would be:

 

(,173]

 

 

hope this helped! please let me know if you are confused about anything i did :)

 Mar 19, 2021
edited by idyllic  Mar 19, 2021
 #2
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That is correct. Thank you.

Immaguest  Mar 21, 2021

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