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Semmy [17]
3 years ago
11

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

Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0

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

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This expression cannot be distributed any further.

The distributive property is used when multiplying polynomials (multiplying one or more terms by two or more terms). In which case, each term in multiplied by each of the terms in the bracket, for example: .

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