Math Problem Statement

Diketahui pertaksamaan 2x - 5 > 3. Nilai x yang memenuhi pertaksamaan tersebut adalah:

Solution

The problem is asking to solve the inequality:

2x5>32x - 5 > 3

Let's solve it step by step:

Step 1: Add 5 to both sides of the inequality

2x5+5>3+52x - 5 + 5 > 3 + 5 This simplifies to: 2x>82x > 8

Step 2: Divide both sides by 2

x>82x > \frac{8}{2} This simplifies to: x>4x > 4

Thus, the solution is x>4x > 4.

The correct answer from the options is:

  • a. x>4x > 4

Would you like further details or have any questions? Here are five related questions you could explore:

  1. How do you solve inequalities with negative coefficients?
  2. What are the rules for multiplying or dividing inequalities by negative numbers?
  3. Can an inequality have more than one solution?
  4. How does graphing the solution of an inequality on a number line work?
  5. What are some real-life applications of inequalities?

Tip: Always remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality changes!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Linear Equations

Formulas

2x - 5 > 3

Theorems

Inequality rules (adding, subtracting, multiplying/dividing both sides)

Suitable Grade Level

Grades 8-10