Question

What solution value satisfies the compound inequality x - 1 < -7 or x/4 > 1?

Answer 1

x < -6 or x > 4

Explanation:

Now, this is an OR inequality, so two separate equations are involved.

x - 1 < -7

Here, we need to add -1 to -7, which results in -6. And there's side one!

x < -6

Now for side two of this inequality.

x/4 > 1

Here, we'll multiply both sides by 4. And now, both sides are solved.

x > 4

The solution values (rather than value) that satsify the equation are x < -6 or x > 4 (so, anything between (and including) -6 and 4 will not work).