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

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

1 answer

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]