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olasank [31]
3 years ago
14

Find the illegal values of b in the fraction 2b² + 3b - 10 over b² - 2b - 8 .

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0
(2b² +3b-10) / (b²-2b-8).

This fraction is invalid for all numbers rendering the denominator nil.
We notice that b²-2b-8 is a quadratic equation, so to factorize it let's find its roots:
 b'= 4 and x" = -2. FOR THESE VALUES b= - 2 and b = 4 , render the fraction impossible

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Problem 1

Answer: Choice B. X is greater than or equal to 4

The closed circle at 4 indicates that this value is included in the solution set. So we will have an "or equal to" as part of the answer. The shading to the right suggests "greater than". Combine "greater than" and "or equal to" and we have a "greater than or equal to" sign.

===================================================

Problem 2

Everywhere is shaded but -4 on the number line. So x can be any number but -4. The answer isn't listed (probably got cut off), but it should be x \ne -4 (x is not equal to -4). The slash through the equal sign means "not equal to"

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