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schepotkina [342]
3 years ago
15

Could x = -5 be a solution to the inequality -6 < 3x + 9 < 21?

Mathematics
2 answers:
____ [38]3 years ago
8 0

<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>

<em />-6<em />

<em>If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.</em>

<em />

<em>Now let's solve the inequality. Separate the inequality by parts.</em>

<em />\left \{ {{-6<em />

<em>Therefore, the inequality is true only when x > -5 or x < 4.</em>

<em />

<em>(Check)</em>

<em>- Substitute x = -4 in the inequality.</em>

<em />-6<em />

<em>The inequality is true for first case.</em>

<em>- Substitute x = 3 in the inequality</em>

<em />-6<em />

<em>The inequality is true for second case.</em>

<em />

<em>So the answer for inequality is -5 < x < 4</em>

<em />

<em>That means only {-4, -3, -2, ..., 3} can make the inequality true.</em>

musickatia [10]3 years ago
6 0

Answer:

<h2><u><em>x=−5<x<4</em></u></h2>

Step-by-step explanation:

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