Could x = -5 be a solution to the inequality -6 < 3x + 9 < 21?
2 answers:
<em>So you think that x = -5 is the solution for the inequality? Let's check it out.</em>
<em>(Check)</em>
<em>- Substitute x = -5 in the inequality</em>
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<em>If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.</em>
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<em>Now let's solve the inequality. Separate the inequality by parts.</em>
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<em>Therefore, the inequality is true only when x > -5 or x < 4.</em>
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<em>(Check)</em>
<em>- Substitute x = -4 in the inequality.</em>
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<em>The inequality is true for first case.</em>
<em>- Substitute x = 3 in the inequality</em>
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<em>The inequality is true for second case.</em>
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<em>So the answer for inequality is -5 < x < 4</em>
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<em>That means only {-4, -3, -2, ..., 3} can make the inequality true.</em>
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