MathDB
Absolute Value Inequality

Source:

January 11, 2009
inequalitiesfunction

Problem Statement

If we write |x^2 \minus{} 4| < N for all x x such that |x \minus{} 2| < 0.01, the smallest value we can use for N N is: <spanclass=latexbold>(A)</span> .0301<spanclass=latexbold>(B)</span> .0349<spanclass=latexbold>(C)</span> .0399<spanclass=latexbold>(D)</span> .0401<spanclass=latexbold>(E)</span> .0499 <span class='latex-bold'>(A)</span>\ .0301 \qquad <span class='latex-bold'>(B)</span>\ .0349 \qquad <span class='latex-bold'>(C)</span>\ .0399 \qquad <span class='latex-bold'>(D)</span>\ .0401 \qquad <span class='latex-bold'>(E)</span>\ .0499 \qquad