Question

The solution to 5−3x > 35 is either x > -10 or -10 > x. Which solution is correct? Explain how you know.

Answer 1

The correct solution to the inequality 5−3x > 35 is x < -10. This result comes from subtracting 5 from both sides and then dividing by -3, keeping in mind to reverse the inequality sign when dividing by a negative number.

Step-by-step explanation:

The solution to the inequality 5−3x > 35 can be found by isolating the variable x. To do this, follow these steps:

1. Subtract 5 from both sides of the inequality to get -3x > 30.
2. Divide both sides by -3. Remember that dividing by a negative number reverses the inequality, so it becomes x < -10.

Therefore, the correct solution is x < -10, which means that x is less than -10. The other proposed solution, x > -10, is incorrect because division by a negative number reverses the direction of the inequality sign.

Answer 2

In this question, you would have to solve the inequality to find your solution.

Solve:

5 - 3x > 35

subtract 5 from both sides

-3x > 30

divide both sides by -3, while also flipping the inequality

x < -10

x < -10 is the same as -10 > x

So the correct solution set would be -10 > x

Answer:

-10 > x