SOLVING INEQUALITIES help!
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SOLVING INEQUALITIES help!

[From: ] [author: ] [Date: 11-09-27] [Hit: ]
. Would it be x ≤ 3/2 or x ≤ 2/3 or x ≥ 3/2 or x ≥ 2/3...? Thats the only part I dont understand how to figure out.......
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!



≤ ≥

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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)

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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.
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