Question

What's the solution set of –5 < 2x – 1 < 3?

–2 < x < 2

Infinitely many solutions

–3 < x < –2

No solution

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Answer 1

The answer is - 2 < x < 2

Explanation:

–5 < 2x – 1 < 3

Add 1 to both sides to eliminate - 1

That's

- 5 + 1 < 2x - 1 + 1 < 3+ 1

- 4 < 2x < 4

Divide both sides by 2

That's

- 4/2 < 2x/2 < 4/2

The final answer is

- 2 < x < 2

Hope this helps you