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) $\{ \ell l \ell \leq 22.8$ or $\ell \geq 23.4 \}$
B) $\{ \ell l 22.8 \leq \ell \leq 23.4 \}$
C) $\{ \ell \mid 23.4 \leq \ell \leq 23.7 \}$
D) $\{$ ll $l \leq 23.4$ or $\ell \geq 23.7 \}$

Question

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) $\{ \ell l \ell \leq 22.8$ or $\ell \geq 23.4 \}$
B) $\{ \ell l 22.8 \leq \ell \leq 23.4 \}$
C) $\{ \ell \mid 23.4 \leq \ell \leq 23.7 \}$
D) $\{$ ll $l \leq 23.4$ or $\ell \geq 23.7 \}$

Quizplus · Accepted Answer

The correct interpretation of $|l - s| \leq 0.3$ with $s = 23.1$ leads to the inequality $22.8 \leq l \leq 23.4$, which matches choice B. This represents the acceptable range of lengths for the metal rod.

Solve -The Length ℓ of a Metal Rod Used in Manufacturing

Solve
-The Length ℓ of a Metal Rod Used in Manufacturing