Solve |6 - 4x| ≤ 2. For full points, you must have 3 things: 1. Your solution with step-by-step work. (You...

Question

Solve |6 - 4x| ≤ 2.
For full points, you must have 3 things:
1. Your solution with step-by-step work. (You can submit an image of your work after the test)
2. Your solution in interval notation.
3. A description or picture of your graph (You can submit an image of your work after the test)

SnapAndSolve AI · Accepted Answer

Step-by-step solution:

Start with the inequality: |6 - 4x| ≤ 2

This splits into two inequalities:

1. 6 - 4x ≤ 2

2. 6 - 4x ≥ -2

Solving the first inequality:

6 - 4x ≤ 2

Subtract 6 from both sides:

-4x ≤ -4

Divide by -4 (remember to reverse the inequality sign):

x ≥ 1

Solving the second inequality:

6 - 4x ≥ -2

Subtract 6 from both sides:

-4x ≥ -8

Divide by -4 (remember to reverse the inequality sign):

x ≤ 2

Combine the solutions:

1 ≤ x ≤ 2
Interval notation:

[1, 2]
Description of the graph:

The graph is a line segment on the x-axis between x = 1 and x = 2, inclusive of both endpoints.

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Solve |6 - 4x| ≤ 2. For full points, you must have 3 things: 1. Your solution with step-by-step work. (You...

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