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Graph the solution to inequality.

−9√2x+1 >-18

 

Would it be -1/2 ≤  x < 3/2??

or

-1/2< x <3/2

 Dec 19, 2019
 #1
avatar+109563 
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−9√(2x+1) >-18

 

Divide  both sides by  -9   and reverse the ineqality sign

 

√ [ 2x + 1]  <  2        square both sides

 

2x  + 1  < 4        subtract 1 from both sides

 

2x  <  3           divide both sides by  2

 

x < 3/2

 

We have one more consideration

 

2x + 1     ≥  0      subtract   1 from both sides

 

2x   ≥  -1        divide both sides  by  2

 

x   ≥ -1/2

 

So....the solution is

 

-1/2 ≤ x  < 3/2

 

 

cool cool cool

 Dec 19, 2019

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