graph the

-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  ????