Question

Which of the following is not a way to represent the solution of the inequality 2(x - 1) ≤ 10?

a. with a closed circle on 6 and shading to the left
b. with a closed circle on 6 and shading to the right.

Answer 1

The solution to the inequality 2(x - 1) ≤ 10 is represented by shading to the left of a closed circle on 6.

Step-by-step explanation:

The solution to the inequality 2(x - 1) ≤ 10 can be represented by shading to the left of a closed circle on 6.

To solve this inequality, we first distribute the 2 to get 2x - 2 ≤ 10. We then add 2 to both sides to isolate the variable and get 2x ≤ 12. Finally, we divide by 2 to solve for x and find that x ≤ 6.

Since the inequality is less than or equal to, we use a closed circle on 6 to represent the solution. Since x ≤ 6, we shade to the left to indicate all the values less than or equal to 6 are solutions.