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Which number line shows the solution set for |h-2| = 4

Which number line shows the solution set for |h-2| = 4-example-1

2 Answers

6 votes

Answer:


h = -2\\h = 6

Explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function
f(x) = |x| x> 0 for all real numbers.

Then the equation:


|h-2| = 4 has two cases


(h-2) = 4 if
h > 2 (i)


-(h-2) = 4 if
h < 2 (ii)

We solve the case (i)


h = 4 + 2\\h = 6

We solve the case (ii)


-h +2 = 4\\h = 2-4\\h = -2

Then the solution is:


h = -2 or
h = 6

User Katrina
by
8.5k points
7 votes

Answer:

The Second Option is your Answer ( Option 2)

Explanation:

1) proof ( replace h with -2)

|-2-2| = 4

|-4| = 4

2) proof ( replace h with 6)

|6-2| = 4

|4|=4

Hopes this helps !

User Bartlaarhoven
by
8.0k points

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