Mari is solving the inequality 4(x - 3) > 16. Her first step is 4x - 12 > 16.
Which step could be the next step?
The next step could be to add 12 to both sides of the inequality to isolate the variable on one side.
The next step could be to add 12 to both sides of the inequality to isolate the variable.
To determine the next step in solving the inequality, let's review what Mari has done so far:
Her initial inequality is 4(x - 3) > 16, and her first step is to distribute the 4 to the terms inside the parentheses:
4 * x = 4x
4 * -3 = -12
So the inequality becomes:
4x - 12 > 16
Now, let's consider the options for the next step:
A) Subtract 4x from both sides
B) Add 12 to both sides
C) Divide both sides by 4
D) Subtract 16 from both sides
To solve the inequality, we want to isolate the variable x on one side of the inequality sign. Looking at the options, the step that helps us achieve this is C) Divide both sides by 4.
Dividing both sides of the inequality by 4 gives us:
(4x - 12)/4 > 16/4
Simplifying, we have:
x - 3 > 4
So, the next step for Mari would be to subtract 3 from both sides of the inequality, which would be her next step after C).