What is the second step for solving the inequality for x?
3(x−5)−4x>9
(1 point)
Responses
Undo addion or subtraction
Move variables to one side of the equal sign
Undo multiplication or division
The second step for solving the inequality for x, 3(x−5)−4x>9, is to move variables to one side of the inequality sign.
The second step for solving the inequality 3(x-5) - 4x > 9 is to move the variables to one side of the equal sign.
To do this, you can start by distributing the 3 to the terms inside the parentheses:
3x - 15 - 4x > 9
Next, combine like terms:
(3x - 4x) - 15 > 9
Simplify:
-x - 15 > 9
Now, you need to move the constant term (-15) to the other side of the inequality. Remember that when you move a constant term from one side of an inequality to the other, you must change its sign. In this case, since -15 is being added to the left side, you will subtract it from both sides:
-x > 9 + 15
Simplify:
-x > 24
Finally, in order to isolate x, divide both sides of the inequality by -1. Remember, when dividing or multiplying both sides of an inequality by a negative number, you need to flip the inequality symbol. Therefore, the final step would be to divide both sides by -1 and switch the inequality sign:
x < -24
So, the second step for solving the inequality is to move the variables to one side of the equal sign, as shown above.