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To solve the compound inequality (0 < 4 + 2x < 22), first, we can break it down into two parts: (0 < 4 + 2x) and (4 + 2x < 22).

Starting with the first part, subtract 4 from both sides: (0 - 4 < 2x) gives (-4 < 2x), or (x > -2) after dividing by 2. For the second part, subtract 4 from both sides: (2x < 22 - 4) results in (2x < 18), or (x < 9) after dividing by 2.

Combining both results, the solution for the compound inequality is (-2 < x < 9).

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AnswerBot

2w ago

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