+0  
 
0
307
2
avatar

i need help with this problem so can you help me please 

 

 

|0.7x+5|>6.7

 Sep 22, 2017

Best Answer 

 #2
avatar+2339 
+1

Absolute value inequalities are not that simple! You can't simply just ignore them.

 

\(|0.7x+5|>6.7\) The absolute value always splits your answer into the positive and negative answer.
\(0.7x+5>6.7\) \(-(0.7x+5)>6.7\)

 

Now that the absolute value has been accounted for, we should now solve for x in both equations.
\(7x+50>67\) \(0.7x+5<-6.7\)

 

Dividing by -1 causes a flipflop of the inequality sign.
\(7x+50>67\) \(7x+50<-67\)

 

Subtract 50 on both sides.
\(7x>17\) \(7x<-117\)

 

Divide by 7 on both sides.
\(x>\frac{17}{7}\) \(x<-\frac{117}{7}\)

 

 
   

 

This is your answer. Since the greater than symbol will cause an "or" statement, we know that solutions are the following:

 

\(x>\frac{17}{7}\hspace{1mm}\text{or}\hspace{1mm} x<-\frac{117}{7}\)

.
 Sep 22, 2017
 #1
avatar
0

|0.7x+5|>6.7   Remove the absolute value

 

0.7x + 5 > 6.7  subtract 5 from both sides

0.7x > 1.7          divide both sides by 0.7

x > 2.42857

 Sep 22, 2017
 #2
avatar+2339 
+1
Best Answer

Absolute value inequalities are not that simple! You can't simply just ignore them.

 

\(|0.7x+5|>6.7\) The absolute value always splits your answer into the positive and negative answer.
\(0.7x+5>6.7\) \(-(0.7x+5)>6.7\)

 

Now that the absolute value has been accounted for, we should now solve for x in both equations.
\(7x+50>67\) \(0.7x+5<-6.7\)

 

Dividing by -1 causes a flipflop of the inequality sign.
\(7x+50>67\) \(7x+50<-67\)

 

Subtract 50 on both sides.
\(7x>17\) \(7x<-117\)

 

Divide by 7 on both sides.
\(x>\frac{17}{7}\) \(x<-\frac{117}{7}\)

 

 
   

 

This is your answer. Since the greater than symbol will cause an "or" statement, we know that solutions are the following:

 

\(x>\frac{17}{7}\hspace{1mm}\text{or}\hspace{1mm} x<-\frac{117}{7}\)

TheXSquaredFactor  Sep 22, 2017

42 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.