Question

How do you solve and graph `x+14< -11`?

Answer 1

See a solution process below:

Explanation:

Subtract `color(red)(14)` from each side of the inequality to solve for `14` while keeping the equation balanced:

`x + 14 - color(red)(14) < -11 - color(red)(14)`

`x + 0 < -25`

`x < -25`

To graph this we will draw a vertical line at `-25` on the horizontal access.

The line will be dashed because the inequality DOES NOT contain an "or equal to" clause so the line is not part of the solution set.

We will shade to the left of the line because the inequality has a "less than" clause.

graph{x<-25 [-60, 20, -20, 20]}