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Which number line represents the solutions to -2xl = 4?

2 Answers

7 votes
To solve the equation -2|x| = 4, we can start by isolating the absolute value by dividing both sides by -2:

|x| = -2/(-2)

|x| = 1

Since the absolute value of a number is always non-negative, we know that |x| = 1 is equivalent to x = 1 or x = -1.

Therefore, the solutions to the equation -2|x| = 4 are x = 1 and x = -1.

To represent these solutions on a number line, we can plot the points -1 and 1, and draw a line segment connecting them. This line segment represents all values of x that satisfy the equation.

Here is one possible representation of the solutions on a number line:

```
<------|-----o-----|----->
-1 0 1
```

The open circles at -1 and 1 indicate that these points are not included in the solution set, since the absolute value of a number is always non-negative. The line segment between -1 and 1 represents all values of x that satisfy the equation -2|x| = 4.
User Laodao
by
8.0k points
6 votes

Answer:x1=-2,x2=2

Explanation:

User Deuce
by
7.8k points