1.4 pt 2 front Two-Step Inequalities.pdf - Kuta Software ... - Free Printable

It looks like you've uploaded an image of a math worksheet titled "Two-Step Inequalities", which includes several problems where students are asked to solve inequalities and graph the solutions on a number line. I can help you solve these step by step, but since I can't view images directly, I’ll need you to provide the actual problems or describe them.

However, based on what’s visible in your description (and typical two-step inequality problems), here's how such problems are generally solved:

---

🔹 What Are Two-Step Inequalities?

These are inequalities that require two steps to solve — usually:
1. Add or subtract to isolate the variable term.
2. Multiply or divide to solve for the variable.

Remember: If you multiply or divide by a negative number, you must reverse the inequality sign.

---

🔹 General Steps to Solve:

1. Simplify both sides if needed.
2. Use inverse operations to isolate the variable.
3. Graph the solution on a number line.

---

Let me walk through a few example problems similar to what might be on your worksheet:

---

#### ✔ Example 1:
Solve: $ 2x + 5 < 11 $

Step 1: Subtract 5 from both sides:
$ 2x < 6 $

Step 2: Divide both sides by 2:
$ x < 3 $

Graph: Draw an open circle at 3 (since it's not included) and shade to the left.

---

#### ✔ Example 2:
Solve: $ -3x + 4 \geq 10 $

Step 1: Subtract 4:
$ -3x \geq 6 $

Step 2: Divide by -3 → flip the inequality sign:
$ x \leq -2 $

Graph: Closed circle at -2, shade to the left.

---

#### ✔ Example 3:
Solve: $ \frac{x}{2} - 3 > 1 $

Step 1: Add 3:
$ \frac{x}{2} > 4 $

Step 2: Multiply both sides by 2:
$ x > 8 $

Graph: Open circle at 8, shade to the right.

---

Now, if you can type out the specific problems from your worksheet (e.g., "Solve: 3x - 7 ≤ 8"), I can:
- Solve each one
- Show all steps
- Help you graph the solution

Just paste the equations, and I’ll guide you through every step!