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:

$-ax+4b>9\\ (-1) -ax>9-b4 (-1)\\ x>\frac{ab-9}{a}$