x = –2 or x = 2
To graph these solutions, plot a filled circle at -2 and 2 on the number line. Then draw a horizontal line connecting the two points.
To check the solutions:
For x = -2, |x| + 6 = |-2| + 6 = 2 + 6 = 8
For x = 2, |x| + 6 = |2| + 6 = 2 + 6 = 8
Since both solutions satisfy the original equation, x = -2 and x = 2 are the correct solutions. Therefore, the answer is Choice D.
What are the solutions of the equation? Graph and check the solutions.|x| + 6 = 4(1 point)Responses–8 to 8 number lineImage with alt text: –8 to 8 number linex = –6 or x = 6Choice Bx = –6 or x = 6 Image with alt text: Choice Bx = –4 or x = 4Choice Cx = –4 or x = 4 Image with alt text: Choice Cx = –2 or x = 2Choice D
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