Correct question is attached
Answer:
[tex]\left[\begin{array}{ccc}x - 50\end{array}\right] \leq \frac{7}{32}[/tex]
[tex]49\frac{25}{32}\leq x\geq 50\frac{7}{32}[/tex]
Step-by-step explanation:
Given.
The ideal width of a certain conveyor belt for a manufacturing plant is 50 in.
Conveyor belts can vary from the ideal width by at most 7/22 in.
Therefore, the absolute change in the width has to be less than or equal to 7/32 in.
If it will decrease than the the acceptable width for the conveyor belt is represented by the expression.
[tex]\left[\begin{array}{ccc}x - 50\end{array}\right] \leq \frac{7}{32}[/tex]
The following equation is satisfy the given condition.
[tex]\frac{-7}{32}\leq x-50\geq \frac{7}{32}[/tex]
[tex]50-\frac{7}{32}\leq x\geq 50+\frac{7}{32}[/tex]
[tex]49\frac{25}{32}\leq x\geq 50\frac{7}{32}[/tex]
Therefore, the correct choice is
[tex]\left[\begin{array}{ccc}x - 50\end{array}\right] \leq \frac{7}{32}[/tex]
[tex]49\frac{25}{32}\leq x\geq 50\frac{7}{32}[/tex]
