Graph the solution to inequality.
−9√2x+1 >-18
Would it be -1/2 ≤ x < 3/2??
or
-1/2< x <3/2
−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