What is the second step for solving the inequality for x in 3 (x - 5) - 4x >9. Select the correct answer from the following choices. a) distribute b) move variables to one side of the equation c) combine like terms d) undo addition or subtraction. Show your work
The second step for solving the inequality 3(x - 5) - 4x > 9 is to distribute 3 to the terms inside the parentheses.
3(x - 5) - 4x > 9
3x - 15 - 4x > 9
So, the correct choice is a) distribute.
To solve the inequality 3(x - 5) - 4x > 9, the second step is to distribute the 3 into the parentheses.
Here's the step-by-step solution:
1. Start with the inequality: 3(x - 5) - 4x > 9.
2. Distribute the 3 into the parentheses: 3 * x = 3x and 3 * (-5) = -15.
This gives us: 3x - 15 - 4x > 9.
3. Combine like terms: The x terms can be combined by subtracting 4x from 3x, which gives -x.
This simplifies the inequality to: -x - 15 > 9.
4. Now you can continue solving the inequality by moving variables to one side, combining like terms, or undoing addition or subtraction, depending on the given options.
The correct answer is b) move variables to one side of the equation.
To solve the inequality 3(x - 5) - 4x > 9, we need to follow a logical sequence of steps. First, let's simplify the expression by distributing the 3:
3(x - 5) - 4x > 9
= 3x - 15 - 4x > 9
The second step is to combine like terms. In this case, we have x terms that can be combined:
(3x - 4x) - 15 > 9
= -x - 15 > 9
Therefore, the correct answer is c) combine like terms.