<PRE><B>Question 1199630</B>
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x^2 + y^2 ≤ 36
x^2 + (-4)^2 ≤ 36
x^2 + 16 ≤ 36
x^2 ≤ 36-16
x^2 ≤ 20
sqrt(x^2) ≤ sqrt(20)
|x| ≤ sqrt(20)
|x| ≤ 4.4721 approximately
-4.4721 ≤ x ≤ 4.4721  
-4 ≤ x ≤ 4 when x is an integer


The x coordinates span from -4 to 4, including both endpoints.
The x value is from the set {-4, -3, -2, -1, 0, 1, 2, 3, 4}


This constitutes 2*4+1 = 9 values of x, and hence there are 9 ordered pair integer solutions.
&lt;table cellpadding = &quot;9&quot;&gt;&lt;tr&gt;&lt;td&gt;&lt;font color=blue&gt;(-4,-4)&lt;/font&gt;&lt;/td&gt;&lt;td&gt;&lt;font color=blue&gt;(-3,-4)&lt;/font&gt;&lt;/td&gt;&lt;td&gt;&lt;font color=blue&gt;(-2,-4)&lt;/font&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;&lt;font color=blue&gt;(-1,-4)&lt;/font&gt;&lt;/td&gt;&lt;td&gt;&lt;font color=blue&gt;(0,-4)&lt;/font&gt;&lt;/td&gt;&lt;td&gt;&lt;font color=blue&gt;(1,-4)&lt;/font&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;&lt;font color=blue&gt;(2,-4)&lt;/font&gt;&lt;/td&gt;&lt;td&gt;&lt;font color=blue&gt;(3,-4)&lt;/font&gt;&lt;/td&gt;&lt;td&gt;&lt;font color=blue&gt;(4,-4)&lt;/font&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;Each pair has the y coordinate fixed to -4.


Unfortunately 9 isn&#39;t listed as a possible answer. Your teacher may have made a typo.


If I had to take a guess, it&#39;s possible your teacher wanted x to be nonzero. 
If so then we&#39;d ignore the solution (0,-4) and we&#39;d go from 9 solutions to 9-1 = 8 solutions. 
Again this is a guess of what your teacher wants. Ideally s/he should state all instructions and restrictions clearly.
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