Graph the solution of 5 ≤ 9 - 4a

1 answer

To graph the solution of 5 ≤ 9 - 4a, we first need to isolate the variable "a" on one side of the inequality sign.

5 ≤ 9 - 4a

Subtracting 9 from both sides:

-4 ≤ -4a

Dividing both sides by -4 (and flipping the inequality sign since we are dividing by a negative number):

1 ≥ a

So the solution to the inequality is a ≤ 1.

To graph this solution, we draw a solid horizontal line at y = 1 (since a is less than or equal to 1), and shade in all the values of "a" to the left of this line (since a is less than or equal to 1).

Here is the graph:

*[illustration graph_5_leq_9_minus_4a]