Question

The ideal width of a certain conveyor belt for a manufacturing plant is 50 in. Conveyor belts can vary

Answer 1

Correct question is attached

Answer:

$\left[\begin{array}{ccc}x - 50\end{array}\right] \leq \frac{7}{32}$

$49\frac{25}{32}\leq x\geq 50\frac{7}{32}$

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.

$\left[\begin{array}{ccc}x - 50\end{array}\right] \leq \frac{7}{32}$

The following equation is satisfy the given condition.

$\frac{-7}{32}\leq x-50\geq \frac{7}{32}$

$50-\frac{7}{32}\leq x\geq 50+\frac{7}{32}$

$49\frac{25}{32}\leq x\geq 50\frac{7}{32}$

Therefore, the correct choice is

$\left[\begin{array}{ccc}x - 50\end{array}\right] \leq \frac{7}{32}$

$49\frac{25}{32}\leq x\geq 50\frac{7}{32}$