https://file.aiquickdraw.com/mathbot/file/1727945446325zoez32hx.docx

Tolong kerjakan tugas tersebut secara rinci dan kerjakan hanya nomer 21 dan 30

Let's solve the specific questions, 21 and 30, from the provided set of problems.

### No. 21:
Solve the inequality:
\[ 4x - 7 < 3x - 5 \]

**Steps:**
1. Move the terms involving \(x\) to one side:
   \[ 4x - 3x < -5 + 7 \]
   \[ x < 2 \]

**Solution:**
The solution to this inequality is \( x < 2 \).

### No. 30:
Solve the inequality:
\[ 3x - 2 \leq 6 \]

**Steps:**
1. Move the constant term to the other side:
   \[ 3x \leq 6 + 2 \]
   \[ 3x \leq 8 \]

2. Divide both sides by 3:
   \[ x \leq \frac{8}{3} \]

**Solution:**
The solution to this inequality is \( x \leq \frac{8}{3} \).

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If you would like to know how to graph these on a number line or have further questions, feel free to ask!

**5 Related Questions:**
1. How do we solve double inequalities?
2. What are the rules for solving inequalities involving multiplication or division by a negative number?
3. How do you represent inequalities on a number line?
4. What are the key differences between solving equations and inequalities?
5. How do you check if a solution to an inequality is correct?

**Tip:** Always remember to flip the inequality sign when multiplying or dividing by a negative number!

Solve linear and quadratic inequalities for questions 21 and 30 from the assignment. Learn the detailed steps to solve the inequalities 4x - 7 < 3x - 5 and 3x - 2 ≤ 6, including graphing solutions on a number line. Suitable for students in Grades 9-10.

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