+0  
 
0
993
2
avatar+234 

This is simply is double check question

does 7 -  2a/3  -  a-5/12  +  3(a+3)/2 < a - 3/4(2a-7) + 5a-1/6       simplified =   -3 19/21 ? show all work

 Mar 15, 2017
 #1
avatar+24 
0

Okay, first, you can't turn a question with a < into a definitive =

 Mar 15, 2017
edited by LazDaUber  Mar 15, 2017
 #2
avatar+128474 
+5

7 -  2a/3  -  a- 5/12  +  3(a+3)/2 < a - 3/4(2a-7) + 5a-1/6

 

7 - (2/3)a - a - (5/12) + (3/2)(a + 3) < a - (3/4)(2a - 7) + 5a - (1/6)

 

7 - (2/3)a - a - (5/12) + (3/2)a + (9/2) < a - (3/2)a + (21/4) + 5a - (1/6) 

 

Multiply through by 12

 

84 - 8a - 12a - 5 + 18a + 54 < 12a - 18a+ 63 + 60a - 2

 

133 - 2a  < 54a + 61

 

72 <  56a      divide by 56

 

72/56 < a

 

a >  9/7

 

 

cool cool cool

 Mar 15, 2017

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