6x² - 13x + 6 ≥ 0
Okay, I know if this was a regular equation I would get... x = 3/2 or x = 2/3. But this is an inequality, and I don't understand how I'm supposed to figure out what inequality signs to use like... Would it be x ≤ 3/2 or x ≤ 2/3 or x ≥ 3/2 or x ≥ 2/3 ...? That's the only part I don't understand how to figure out. Thanks for any help!
≤ ≥
Okay, I know if this was a regular equation I would get... x = 3/2 or x = 2/3. But this is an inequality, and I don't understand how I'm supposed to figure out what inequality signs to use like... Would it be x ≤ 3/2 or x ≤ 2/3 or x ≥ 3/2 or x ≥ 2/3 ...? That's the only part I don't understand how to figure out. Thanks for any help!
≤ ≥
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Graph it.
Since ≥ means greater than or equal to, x is greater than or equal to 3/2 or 2/3. Right?
When you graph it, you get a parabola. Since it is greater than, the answer is outside the parabola (meaning everything under 2/3 and over 3/2). It is also equal to, so x includes 2/3 and 3/2 as well.
Put into an inequality, the answer is x≥3/2 and x≤2/3.
Put into interval notation, it is (-infinity, 2/3] and [3/2,infinity)
Since ≥ means greater than or equal to, x is greater than or equal to 3/2 or 2/3. Right?
When you graph it, you get a parabola. Since it is greater than, the answer is outside the parabola (meaning everything under 2/3 and over 3/2). It is also equal to, so x includes 2/3 and 3/2 as well.
Put into an inequality, the answer is x≥3/2 and x≤2/3.
Put into interval notation, it is (-infinity, 2/3] and [3/2,infinity)
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http://www.wolframalpha.com/input/?i=sol…
The answer is also plotted ( on a number line) if it helps you understand it better.
The answer is also plotted ( on a number line) if it helps you understand it better.