Solve for × and write answer in interval notation.
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( -∞, -2.5] ∪ (-1, 2)

Step-by-step explanation:

1/(x + 1) ≥ 3/(x - 2)

x - 2 ≥ 3(x + 1)

x - 2 ≥ 3x + 3

x - 3x ≥ 3 + 2

-2x ≥ 5

x ≤ -2.5

Interval notation:

( -∞, -2.5] ∪ (-1, 2)

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

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