Solve 3|2x + 4| - 5 1. For full points, you must have 3 things: 1. Your solution with step-by-step work....

Question

Solve 3|2x + 4| - 5 > 1.
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:
1. Add 5 to both sides: 3|2x + 4| > 6.
2. Divide both sides by 3: |2x + 4| > 2.
3. Set up two inequalities: 2x + 4 > 2 and 2x + 4 < -2.
4. Solve the first inequality: 2x + 4 > 2.
5. Subtract 4 from both sides: 2x > -2.
6. Divide by 2: x > -1.
7. Solve the second inequality: 2x + 4 < -2.
8. Subtract 4 from both sides: 2x < -6.
9. Divide by 2: x < -3.
Solution in interval notation:

x ∈ (-∞, -3) ∪ (-1, ∞)
Description of the graph:

The graph consists of two open intervals on the number line: one from negative infinity to -3, and another from -1 to positive infinity.

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Solve 3|2x + 4| - 5 > 1. For full points, you must have 3 things: 1. Your solution with step-by-step work....

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