To solve the nonlinear inequality x + 4 / x-8 ≤ 0 we first observe that the numbers______ (smaller value) and ______(larger value) are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table. Interval −∞, , , ∞ Sign of x + 4 Sign of x − 8 Sign of (x + 4)/(x − 8)
To solve the nonlinear inequality x + 4 / x-8 ≤ 0 we first observe that the numbers______ (smaller value) and ______(larger value) are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table. Interval −∞, , , ∞ Sign of x + 4 Sign of x − 8 Sign of (x + 4)/(x − 8)
Chapter3: Functions
Section3.6: Absolute Value Functions
Problem 40SE: Students who score within 18 points of the number 82 will pass a particular test. Write this...
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Question
To solve the nonlinear inequality
x + 4 / x-8 ≤ 0 |
we first observe that the numbers______ (smaller value) and ______(larger value) are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table.
Interval |
−∞,
|
|
, ∞
|
||||
Sign of
x + 4
|
|||||||
Sign of
x − 8
|
|||||||
Sign of
(x + 4)/(x − 8)
|
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Do any of the endpoints fail to satify to inequality? If so which ones?
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