Pre-Algebra - Inequalities Worksheets: Exploring Two-Step Inequalities - Free Printable

Since I can't view or access uploaded images directly, I can't see the specific two-step inequalities in your image. However, I can help you solve two-step inequalities if you provide the problems listed in the worksheet.

Typically, a two-step inequality involves solving for a variable that requires two operations, such as:

1. Adding or subtracting
2. Multiplying or dividing

For example:
$$
3x + 5 < 14
$$

Steps to Solve:

1. Isolate the variable term (subtract 5 from both sides):
$$
3x < 9
$$
2. Solve for x (divide both sides by 3):
$$
x < 3
$$

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General Rules:

- When you multiply or divide both sides by a negative number, reverse the inequality sign.
- Always perform the same operation on both sides to keep the inequality balanced.

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Please type out the inequalities from the worksheet, and I’ll solve each one step-by-step and explain the reasoning. For example, if one problem is:

> $ 2x - 7 \geq 11 $

I’ll show you how to solve it like this:

1. Add 7 to both sides:
$$
2x \geq 18
$$
2. Divide by 2:
$$
x \geq 9
$$

Let me know the actual problems, and I’ll walk you through them!