Question

The inequality −8(x − 1) ≥ 88 is given. Part A: Solve the inequality and show every step of your work. (4 points) Part B: Explain in words how to graph the solution to the inequality on a number line. (4 points) Part C: Find two values that would make the inequality true. Explain how you know the values are solutions to the inequality. (4 points)

Answer 1

Regarding the inequality defined by −8(x − 1) ≥ 88, we have that:

A. The solution is given by: x < -4.

B. On the number line, the solution set is composed by x = -10 and the values to the left of it.

C. Two possible solutions are x = -11 and x = -12.

Solving the inequality

The inequality is defined by:

−8(x − 1) ≥ 88

It is solved similarly to an equality, applying the distributive property and isolating the variable x, finding a range of values of x which are the solution to the inequality, as follows:

−8(x − 1) ≥ 88

8(x - 1) ≤ -88 (multiplication by -1 changes the inequality signal)

x - 1 ≤ -11 (simplify both sides of the inequality by 8).

x ≤ -10.

This the solution set is composed by the value of x = -10 and the values to the left of it, and two possible solutions are x = -11 and x = -12, which are numbers that are less than, that is, to the left of x = -10.

Learn more about inequalities at brainly.com/question/25275758

#SPJ1