Question

I need to know which inequality describes all the solutions to 3x - 1 + 2 < 7.

Answer 1

The inequality that describes all the solutions to 3x - 1 + 2 < 7 is x < 2.

Step-by-step explanation:

To find the inequality that describes all the solutions to 3x - 1 + 2 < 7, we need to solve the inequality step-by-step:

1. Start by simplifying the left side of the inequality: 3x - 1 + 2 = 3x + 1
2. Next, subtract 1 from both sides: 3x + 1 - 1 < 7 - 1, which simplifies to 3x < 6
3. Finally, divide both sides of the inequality by 3: 3x/3 < 6/3, which simplifies to x < 2

Therefore, the inequality that describes all the solutions to the given inequality is x < 2.