+0  
 
+1
117
2
avatar+96 

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

 

Thank you in advance.

 Mar 19, 2021
 #1
avatar+148 
+2

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.

 

\(2x + x - 5 \le 12\)

now let's add five to both sides.

 

\(3x \le 12 + 5\)

\(3x \le 17\)

 

let's divide both sides by 3.

\(x \le \frac{17}{3}\)

 

so, in interval notation, the answer would be:

 

\((-∞, \frac{17}{3}]\)

 

 

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
avatar+96 
0

That is correct. Thank you.

Immaguest  Mar 21, 2021

19 Online Users

avatar
avatar