Question

Pretty Easy questions. Answer for lots of points.

Answer 1

Answer:

1) x+3

2) x+3

3) x-3

4) -x-120

5) -x+120

6) x+12

7) -x-12

8) 0

9) x/3

10) -x/3

Step-by-step explanation:

Answer 2

Answers in bold

1. x+3
2. x+3
3. x-3
4. -x-120
5. -x+120
6. x+12
7. -x-12
8. 0
9. x/3
10. -x/3

Ignore the non bold numbers up front as they are just meant to keep track of which answer goes where. The result to problem 8 is zero, while everything else involves x somehow.

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Explanation:

Use a graphing tool like Desmos to see that y = |x+3| is a V shaped graph. The vertex is at (-3,0). Stuff to the right of the vertex is x > -3. The interval x > 5 is a subset of the previous inequality.

In other words, if you pick something larger than 5, then its automatically larger than -3.

The y = |x+3| is composed of the linear equations y = x+3 and y = -(x+3) depending if you are on the right branch or the left branch respectively.

We go for y = x+3 since we're on the right hand side.

Use this type of trick to answer the others in this fashion.

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For problem 8, we replace x with -12 and compute like so

|x-(-12)| = |x+12| = |-12+12| = |0| = 0