To solve the inequality 5a + 18 < -27, we need to isolate the variable "a" on one side of the inequality.
Subtracting 18 from both sides:
5a + 18 - 18 < -27 - 18
5a < -45
Dividing both sides by 5 (since the coefficient of "a" is 5):
5a/5 < -45/5
a < -9
So, the solution set for the inequality is a < -9.
To graph this inequality, we would plot all the values of "a" that are less than -9 on a number line. We would represent this by shading the region to the left of -9 on the number line. The circle at -9 would be an open circle meaning that -9 is not included in the solution set.
The graph would look something like this:
-----o---------------------> (number line)
-10 -9 -8 -7 -6 ...
The shaded region would be to the left of the open circle at -9. This represents all the values of "a" that satisfy the inequality 5a + 18 < -27.
Solve for the solution set: 5a+18<−27 (1 point) Responses
explain the graph it would make
1 answer