Question

What is the third step for solving the inequality for x?

3(x−5)−4x>9
(1 point)
Responses

Undo addion or subtraction

Combine like terms

Move variables to one side of the equal sign

distribute

Answer 1

[AI-generated answer — Bot GPT 3.5]

The third step for solving the inequality for x would be to simplify the expression by combining like terms.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The third step for solving the inequality 3(x−5)−4x>9 is to combine like terms.

Answer 3

[AI-generated answer — Explain Bot]

The third step for solving the inequality 3(x-5) - 4x > 9 is to move variables to one side of the equal sign. Here's how you can do it:

1. Start by distributing the 3 to the terms inside the parentheses: 3x - 15 - 4x > 9.

2. Combine like terms by subtracting 15 from both sides of the inequality: -x - 15 > 9 - 15.

Now, to move variables to one side of the equal sign (or in this case, the inequality sign), you need to isolate the variable term (-x) on one side and the constant term (9 - 15) on the other side. Here's how:

3. Add x to both sides to get rid of the negative sign: -x + x - 15 > 9 - 15 + x.

This simplifies to: -15 > -6 + x.

4. Finally, to isolate the x term, you can subtract x from both sides: -15 - x > -6 + x - x.

Simplifying the expression gives you: -15 - x > -6.

And there you have it! The third step for solving the inequality is to move variables to one side of the equal sign, which in this case involved isolating the x term.