Find the value of Δx for which the value of Δy/Δx is within 0.1 units of slope.
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Here is the link for the problem that I am trying to solve: https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/ The problem is 1c in the pdf: https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/MIT18_01SCF10_ex01sol.pdf The final solution is next: $$-0.08 le Delta x le 0.10$$ As I understand this is the formula for this problem where m is the slope: $$-0.1m le frac{Delta y}{Delta x} le 0.1m$$ But I can't understand why the numbers on each end are different. Appreciate any help.
derivatives ...