Question

comparing rigid transformations practice
complete this assessment to review what youve learned. it will not count toward your grade.
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: -1 ≤ x ≤ 0
option #2: 1 > x ≥ 2
option #3: 0 < x < 1
option #4: -1 ≤ x ≤ 1
(1 point)

Explanation:

Step1: Recall scale - factor concept

A scale factor \(x\) that produces a reduction or shrinking of a pre - image must be a positive number less than 1.

Step2: Analyze options

Option #1: \(- 1\leq x\leq0\) includes non - positive numbers, so it's incorrect. Option #2: \(1 > x\geq2\) is an impossible inequality as \(2>1\). Option #3: \(0 < x < 1\) represents positive numbers less than 1, which is correct. Option #4: \(-1\leq x\leq1\) includes negative numbers and 1, so it's incorrect.

Answer:

Option #3: \(0 < x < 1\)