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Please i need help please help me out!

Please i need help please help me out!-example-1
User Changhwan
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1 Answer

2 votes

Answer:

1. 13 or -13

2. -5 < y < -3

3. 6 or -6

4. 1/8 or -1/8

Explanation:

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x|

For the Negative case we'll use -(x)

For the Positive case we'll use (x)

Step 3 :

Solve the Negative Case

-(x) = 13

Multiply

-x = 13

Multiply both sides by (-1)

x = -13

Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(x) = 13

Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

x=-13

x=13

But for the case of question (2) its a different pattern..

Since this is a "less than" absolute-value inequality, my first step is to clear the absolute value according to the "less than" pattern. Then I'll solve the linear inequality.

| y + 4 | < 1

–1 < y + 4 < 1

This is the pattern for "less than". Continuing, I'll subtract 3 from all three "sides" of the inequality:

–1 – 4 < y + 4 - 4 < 1 – 4

–5 < y < -3


- 5 < y < - 3

The solution to the original absolute-value inequality, | y + 4 | < 1 , is the interval:


- 5 < y < - 3

User Bradheintz
by
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