Question

Solve for x.

−ax + 4b > 9



1) x > the quantity 4 times b minus 9 all over a

2) x < the quantity 9 minus 4 times b all over a

3) x < the quantity negative 4 times b plus 9 all over negative a

4) x > the quantity 4 times b plus 9 all over negative a

Answer 1

The answer is the first option: 1)
`x`> the quantity
`4` times
`b` minus
`9` all over
`a`

The explanation is shown below:

1. To solve this problem you must pply the following proccedure:

2. Move the term
`4b` to the left member. As the variable is negative, multiply the expression by
`-1` and change the direction of the sign:

`-ax+4b>9\\ (-1) -ax>9-b4 (-1)\\ x>(ab-9)/(a)`