# How do you solve and graph f-6<5 and f-4>=2?

##### 1 Answer

Mathematically, this is expressed as $6 \le f < 11$

#### Explanation:

We first need to solve each part of this problem:

$f - 6 < 5 \implies f < 11$

$f - 4 \ge 2 \implies f \ge 6$

The graph, then, will consist of a line along the $f$-axis (probably looking very much like a number line) and will be a solid dot at 6 (to indicate that 6 is part of the solution), a hollow dot at 11 (to indicate that all the points up to but not including 11 are part of the solution), and a solid line connecting the two dots.

Mathematically, this is expressed as $6 \le f < 11$