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-The Length ℓ of a Metal Rod Used in Manufacturing

Question 64

Multiple Choice

Solve.
-The length ℓ of a metal rod used in manufacturing cars must not differ from the standard s by more than 0.3 inches. The manufacturing engineers express this as |ℓ- s| ≤0.3. If the standard s is 23.1, solve the inequality for the length ℓ. Express the answer in set-builder notation.


A) {l22.8\{ \ell l \ell \leq 22.8 or 23.4}\ell \geq 23.4 \}
B) {l22.823.4}\{ \ell l 22.8 \leq \ell \leq 23.4 \}
C) {23.423.7}\{ \ell \mid 23.4 \leq \ell \leq 23.7 \}
D) {\{ ll l23.4l \leq 23.4 or 23.7}\ell \geq 23.7 \}

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