What is the solution set of the equation?

9514 1404 393

  x ∈ {2.07014981016}

Step-by-step explanation:

The equation can be rewritten as ...

  √x = 18-8x

  x = 324 -288x +64x²

  64x² -289x +324 = 0

  x = (289 ±√577)/128 ≈ {2.07015, 2.44548}

Since √x must be positive, we know that ...

  18 -8x ≥ 0

  x ≤ 18/8 = 2.25

The larger of the above solutions is extraneous, so the solution set is ...

  x ∈ {(289 -√577)/128} ≈ {2.07015}

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3