Choose the compound inequality that can be used to solve the original inequality 3x + 5 < 10

To solve the inequality 3x + 5 < 10, we first need to isolate the variable x.

1. Start by subtracting 5 from both sides of the inequality:

3x + 5 – 5 < 10 - 5

This simplifies to:

3x < 5

2. Next, divide both sides by 3 to isolate x:

x < rac{5}{3}

So, the original inequality corresponds to a range where x is less than ⁵/₃.

If we were to consider a compound inequality, we could express this as:

-∞ < x < 5/3

This means x can take any value less than ⁵/₃ and extends infinitely to the left on the number line.