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5x-4>2x 11 compund inequality

User Aadi Droid
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To solve the compound inequality 5x - 4 > 2x + 11, we need to isolate the variable x. Here's how we can do it step by step:

1. Start by subtracting 2x from both sides of the inequality to get rid of the x term on the right side:

5x - 2x - 4 > 2x - 2x + 11.

2. Simplify the equation:

3x - 4 > 11.

3. Next, add 4 to both sides of the inequality to isolate the x term on the left side:

3x - 4 + 4 > 11 + 4.

4. Simplify the equation:

3x > 15.

5. To solve for x, divide both sides of the inequality by 3:

(3x) / 3 > 15 / 3.

6. Simplify the equation:

x > 5.

Therefore, the solution to the compound inequality 5x - 4 > 2x + 11 is x > 5. This means that any value of x greater than 5 will satisfy the inequality.

User Odi
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