Question

Here is the equation 5x < -15x + 3000. What is the solution for x?

A) x > 300
B) x < 300
C) x = 300
D) x = -300

Answer 1

To solve the inequality equation 5x < -15x + 3000, add 15x to both sides and divide by 20 to solve for x. The solution is x < 150, so the correct answer is B) x < 300.

Step-by-step explanation:

To solve the given inequality equation, 5x < -15x + 3000, we want to isolate the variable x on one side.

First, let's add 15x to both sides to eliminate the variable terms on the right side: 5x + 15x < 3000. This simplifies to 20x < 3000.

Next, divide both sides by 20 to solve for x: x < 3000/20. This simplifies to x < 150.

Therefore, the solution for x is x < 150, which means option B) x < 300 is the correct answer.