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avatar+1493 

??im insure how to solve

 Dec 12, 2019
 #1
avatar+106539 
+1

-9√ [ 2x + 1]  >  -18       

 

Divide  both sides by  -9......since we are dividing an inequality by a negative, we need to reverse the inequality sign.....so....we have

 

 

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

 

2x + 1  < 4           subtract 1 from both sides

 

2x  <  3                 divide both sides by  2

 

x < 3/2

 

 

But also remember that  the result of  the expression ubder the radical  must  be  ≥ 0

 

So

 

2x  + 1  ≥  0

 

2x ≥  -1

 

x ≥  -1/2

 

So.....the solution  is

 

-1/2  ≤ x  <  3/2

 

 

We  wll  have a   "closed" circle on the left side and an "open" circle on the right  - so......the last choice

 

Does this make sense, Jenny  ????

 

 

cool cool cool

 Dec 12, 2019

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