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Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval

 Aug 8, 2023
 #1
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3x -7 <= 5x + 9

-2x <= 16

x <= -8

 

The solution in interval notation is (-inf,-8].

 Aug 8, 2023
 #3
avatar+36919 
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...ooops !    Remember when dealing with inequalities, when you divide or multiply both sides by a negative the  <  or   >  symbol reverses

ElectricPavlov  Aug 8, 2023
 #2
avatar+36919 
+1

3x-7 ≤ 5x+9 

-16 ≤ 2x

-8 ≤ x                         solution is then  [-8, + ∞ )    

 Aug 8, 2023

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