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Solve the inequality 29/289z<16/161z. (There is a way to solve this problem without doing a lot of messy computations!) Enter your answer as an inequality with just z on the left side. For example, if the inequality in the problem were true for all positive z, then you'd enter "z>0" (without the quotation marks). If it were true for all z less than or equal to 3, then you'd enter "z<=3".

 May 10, 2015

Best Answer 

 #1
avatar+118608 
+5

I am sorry Awsomeee, what I was telling you before was not quite right  

 

29/289z<16/161z

 

$$\\\frac{29z}{289}<\frac{16z}{161}\\\\
\frac{29z}{289}-\frac{16z}{161}<0\\\\
z\left(\frac{29}{289}-\frac{16}{161}\right)<0\\\\
z\left(\frac{45}{46529}\right)<0\\\\
$This will only be true if $
z<0$$

 May 11, 2015
 #1
avatar+118608 
+5
Best Answer

I am sorry Awsomeee, what I was telling you before was not quite right  

 

29/289z<16/161z

 

$$\\\frac{29z}{289}<\frac{16z}{161}\\\\
\frac{29z}{289}-\frac{16z}{161}<0\\\\
z\left(\frac{29}{289}-\frac{16}{161}\right)<0\\\\
z\left(\frac{45}{46529}\right)<0\\\\
$This will only be true if $
z<0$$

Melody May 11, 2015

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