Question

Solve for x in the equation below by selecting the applicable information in the drop down boxes.

-ax - 2 > 18
[_] > [_]
-----------------
-ax/[_] > [_]/[_]
-----------------
x[_] [_]/[_]

Answer 1

To solve the inequality \(-ax - 2 > 18\), we first isolate \(x\).

1. Start by adding 2 to both sides:
\[
-ax > 20
\]

2. Next, divide both sides by \(-a\). Remember that dividing by a negative number reverses the inequality:
\[
x < \frac{20}{-a}
\]

So the final solution in the desired format is:
\[
x < \frac{20}{-a}
\]

Now, we fill in the information in the drop down boxes:

- The first box should be "<".
- The second box should be "20".
- The third box should be "-a".
- The fourth box should be "<".
- The fifth box should be "1".
- The sixth box should be "-a".

Thus, we complete the selection as follows:

-ax - 2 > 18
< >
-----------------
-ax/[-a] > [20]/[-a]
-----------------
x < [20]/[-a]