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Solve the inequality $4(a+6)\ge 5(a+3)$. Enter your answer as an inequality with just $a$ on the left side. For example, if the inequality in the problem were true for all negative $a$, then you'd enter "a<0" (without the quotation marks). If it were true for all $a$ greater than or equal to 3, then you'd enter "a>=3".

 May 10, 2015

Best Answer 

 #1
avatar+118608 
+10

$$\\4(a+6)\ge 5(a+3)\\
4a+24\ge 5a+15\\
4a+24-5a\ge 5a+15-5a\\
24-1a\ge 15\\
24-1a-24\ge 15-24\\
-a\ge -9\\
a\le9\qquad $I multiplied both sides by -1 so I had to turn the inequality around$$$

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 May 11, 2015
 #1
avatar+118608 
+10
Best Answer

$$\\4(a+6)\ge 5(a+3)\\
4a+24\ge 5a+15\\
4a+24-5a\ge 5a+15-5a\\
24-1a\ge 15\\
24-1a-24\ge 15-24\\
-a\ge -9\\
a\le9\qquad $I multiplied both sides by -1 so I had to turn the inequality around$$$

Melody May 11, 2015

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