what is the smallest solution to
4(x -1) > 16
First you distribute the four. So it will be four x minus four is greater than sixteen. Then you add four to both sides which will then be twenty and it will cancel out the other four the one without the variable because you ean to get x by itself. and will be four x is greater than twenty. Then you divide each side by four and you have x is greater than five.
4(x - 1) > 16.
4x - 4 > 16,
4x > 16 + 4,
4x > 20,
x > 5.
x>5
To find the smallest solution to the inequality 4(x - 1) > 16, we need to solve it step by step.
Step 1: Distribute 4 to the terms inside the parentheses:
4x - 4 > 16
Step 2: Add 4 to both sides of the inequality to isolate the variable on one side:
4x > 20
Step 3: Divide both sides of the inequality by 4 to solve for x:
x > 5
Therefore, the smallest solution to the inequality 4(x - 1) > 16 is x > 5. This means that any value of x greater than 5 will satisfy the inequality.