Question

What are the two equations to set up to solve the equation |2x−4|=10 ?

Answer 1

Answer:

B

Step-by-step explanation:

The absolute value function always gives a positive result

However, the expression inside can be positive or negative

| 2x - 4 | = 10

2x - 4 = 10 ← positive expression

2x - 4 = - 10 ← negative expression

Solving both gives

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

and

2x - 4 = - 10 ( add 4 to both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3