solve and graph:
3a-8<19
a<9. Not sure about the graph
3a<19+8
3a<27
a<27/3
a<9
thax for the help
To solve the inequality 3a - 8 < 19, you need to isolate the variable a. Here are the steps:
Step 1: Add 8 to both sides of the inequality:
3a - 8 + 8 < 19 + 8
3a < 27
Step 2: Divide both sides of the inequality by 3:
(3a)/3 < 27/3
a < 9
The solution to the inequality is a < 9. This means that any value of a that is less than 9 will satisfy the inequality.
To graph this inequality, you will plot a number line and shade the region to the left of 9, since we have a < 9:
|-------------------o---------------------------------|
-∞ 9 +∞
The open circle at 9 indicates that 9 is not included in the solution, as we have a strict inequality. The shaded region to the left of 9 represents all the values of a that satisfy the inequality.