Question

Use the inequality below to find the value of W. -(3)w - 9 < -(15)

a) W > 6
b) W < -6
c) W > -6
d) W < 6

Answer 1

To solve the inequality -(3)w - 9 < -(15) and find the value of W, you need to isolate the variable W on one side of the inequality sign. The solution is W > 2.

Step-by-step explanation:

The given inequality is: -(3)w - 9 < -(15)

To solve for W, we need to isolate the variable W on one side of the inequality sign.

First, let's simplify the inequality:

(-3w) - 9 < -15

Next, let's add 9 to both sides of the inequality:

(-3w) < -6

Finally, divide both sides of the inequality by -3 (remember to flip the inequality sign when dividing by a negative number):

W > 2

Therefore, the solution is W > 2. Option a) is correct.