Question

Express the following interval as an inequality in terms of x. (1,6) The inequality is

          Express the following interval as an inequality in terms of x.
(1,6)
The inequality is
        
Express the following interval as an inequality in terms of x.
(1,6)
The inequality is

Added by Milagros H.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Express the following interval as an inequality in terms of x. (1,6) The inequality is Express the following interval as an inequality in terms of x (1,6) The inequality is
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Transcript

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00:01 Okay, then the intervals i want to find first are the changeover points where the sign will change, and that will be where each item becomes zero.
00:12 So 16 for this one, here minus 16, here is zero.
00:18 So each item is zero, and we get the number is minus 16, zero, and 16 in order.
00:27 So intervals then are going to be a number line to be clearer.
00:32 Here is minus 16, here is 0, here is plus 16.
00:39 This interval here on the left is going to be negative infinity up to minus 16.
00:49 And here it can be inclusive because if we put in minus 16, we'll get the 0.
00:57 That's okay.
00:59 Here then we're going to have minus 16 up to here it can't be zero because it can't divide by zero.
01:13 So here is zero.
01:16 Here is zero up to 16 and here we are 16 up to plus infinity.
01:28 Okay now at minus 16 i'm going to get zero as i will at plus 16 and we get zero.
01:39 Now let's find a sign of each section.
01:45 Take a number below minus 16 takes a minus 20 for example...
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