Question

Which number line shows the solution set for |8-2p|= 6?​

Answer 1

p = 1 or p = 7

So first number line is the answer we are looking for.

Explanation:

|8-2p| = 6

• We are asked to find the absolute value for this equation.

To do that, we need to get rid of the brakes and rewrite equation in two forms:

• One in positive state and the other in negative.

8 - 2p = 6

or

8 - 2p = -6

For the first state:

8 - 2p = 6

• Subtract 8 from the both sides.

- 2p = -2

• Since both sides are in negative form, they will have positive value.

2p = 2

• Divide both sides by 2.

p = 1

Now, the second state:

8 - 2p = -6

• Subtract 8 from both sides.

- 2p = -14

• Again, both sides are negative and 2 negatives = 1 positive.

2p = 14

• Divide both sides by 2.

p= 7