In later courses in mathematics, it is sometimes necessary to find an interval in which x must
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In later courses in mathematics, it is sometimes necessary to find an interval in which x must lie in order to keep y within a given difference of some number. For example, suppose
and we want y to be within 0.01 unit of 4. This criterion can be written as
Solving this inequality shows that x must lie in the interval (1.495, 1.505) to satisfy the requirement. Find the open interval in which x must lie in order for the given condition to hold.
y = 5x + 12, and the difference of y and 4 is less than 0.0001.
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Related Book For 
Intermediate Algebra
ISBN: 9780134895987
13th Edition
Authors: Margaret Lial, John Hornsby, Terry McGinnis
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