Question

The solution set of the inequality 5(4x+6) <25x+10 is

• A. (4,∞)
• B. (-∞,4)
• C. (-∞,5)
• D. (5,∞)
• E. (-4,4)

Answer 1

The Correct Option is A

Given inequality: 

5(4x + 6) < 25x + 10

Goal: Find the solution set of the inequality.

Step 1: Distribute the 5 on the left-hand side.

5(4x + 6) = 5 * 4x + 5 * 6 = 20x + 30

So, the inequality becomes:

20x + 30 < 25x + 10

Step 2: Move the terms with x to one side and constant terms to the other side.

20x - 25x < 10 - 30

-5x < -20

Step 3: Divide both sides by -5 and reverse the inequality sign.

x > 4

Step 4: Conclusion.

The solution set is (4, ∞).