Question

which compound inequality shows the range of a scale factor that would produce a reduction or shrinking of a preimage? enter the number of the correct option. option #1: $-1leq xleq0$ option #2: $1 > xgeq2$ option #3: $0 < x < 1$ option #4: $-1leq xleq1$ (1 point) option # shows the range of the scale factor that would produce a reduction.

Explanation:

Step1: Recall scale - factor concept

A positive scale factor between 0 and 1 shrinks a pre - image. A negative scale factor flips the pre - image and also changes its size. But when we just want shrinking without flipping, we consider positive scale factors.

Step2: Analyze options

Option #1 has negative values which will flip the pre - image. Option #2 is an incorrect inequality ($1>x\geq2$ is not possible). Option #4 includes 1 which means no change in size and negative values which flip the pre - image. Option #3, $0 < x < 1$, represents positive values less than 1 which will produce a reduction or shrinking of the pre - image.

Answer:

Option #3