Solve 7x − 6 > 8 and 3x + 4 ≥ 22 for x.

x ≥ 6

Step-by-step explanation:

Lets solve the first inequality:

7x - 6 > 8

7x > 8 + 6

7x > 14

x > 14/7

x > 2

And now the second inequality:

3x + 4 ≥ 22

3x ≥ 22 - 4

3x ≥ 18

x ≥ 18/3

x ≥ 6

So, from the 2 answers, which region is overlapping ?? x ≥ 6

So this is the solution.

Note: we disregard x from 2 to 6 because that region is ONLY solution to the first one

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