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inna [77]
3 years ago
11

what rational number lies in between -14/31 and -17/33? A. -989/3069 B. -123/276 C. -989/2046 D. -4/7

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0
-14/31 and -17/33

-17/33 - (-14/31) = (-17/33*31/31) - (-14/31*33/33) = -527/1023 +  462/1023

= (-527+462)/1023 = -65/1023 

-65/1023 ÷ 2 = -65/1023 * 1/2 = -65/2046

-17/33 - (-65/2046) = (-17/33*62/62) - (-65/2046) = -1054/2046 + 65/2046
= -989/2046 Choice C.
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The graph y < -2/3x + 2 has a dotted line. That means that any points on the dotted line or not shaded, is not a solution to this inequality. Since we are given 4 choices, we can substitute those values into the given inequality to see if it is true.

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To check if choice C) (0, 0) is true, we should look at the given graph.

Since (0, 0) is in the shaded area, and is not graphed on the dotted line, therefore, a solution to this linear inequality is C, (0, 0).

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