Question

(Two-Step Linear Inequalities HC)

The inequality −6(x − 3) > 42 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)

PLs help

Answer 1

Part A:

-6(x - 3) > 42

x - 3 < -7

x < -4

Part B:

On the number line, draw an open circle at -4. From -4, draw an arrow pointing to the left (shade all the points to the left of -4, and also shade the left arrowhead because the solutions continue forever to the left).

Part C:

x = -5---->-6(-5 - 3) = -6(-8) = 48 > 42

x = -6---->-6(-6 - 3) = -6(-9) = 54 > 42