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Solve the inequality by showing all work. -2x-7>=-3 Solve like the example problem attached.

Solve the inequality by showing all work. -2x-7>=-3 Solve like the example problem attached.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve the inequality by showing all work.

-2x-7>=-3


Solve like the example problem attached.

**Solving the Inequality for \( x \):** 1. \(-4 (7x - 3) < 12\) 2. \(-4 (7x) - 4 (-3) < 12\) 3. \(-28x + 12 < 12\) 4. \(-28x + 12 - 12 < 12 - 12\) 5. \(-28x < 0\) 6. \(\frac{-28x}{-28} > \frac{0}{-28}\) 7. \(x > 0\) ✔️ **Check:** Let \( x = 1 \) 1. \(-4 (7x - 3) < 12\) 2. \(-4 (7(1) - 3) < 12\) 3. \(-4 (7 - 3) < 12\) 4. \(-4 (4) < 12\) 5. \(-16 < 12\) The initial inequality holds true, verifying that \( x > 0 \) is a valid solution.
Transcribed Image Text:**Solving the Inequality for \( x \):** 1. \(-4 (7x - 3) < 12\) 2. \(-4 (7x) - 4 (-3) < 12\) 3. \(-28x + 12 < 12\) 4. \(-28x + 12 - 12 < 12 - 12\) 5. \(-28x < 0\) 6. \(\frac{-28x}{-28} > \frac{0}{-28}\) 7. \(x > 0\) ✔️ **Check:** Let \( x = 1 \) 1. \(-4 (7x - 3) < 12\) 2. \(-4 (7(1) - 3) < 12\) 3. \(-4 (7 - 3) < 12\) 4. \(-4 (4) < 12\) 5. \(-16 < 12\) The initial inequality holds true, verifying that \( x > 0 \) is a valid solution.
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