Give the inequality equivalent to the following staternent about the number x. Geater then 1 and less than? Select the correct choice below and fill in the answer bores to corplele your choice. A. \( \square \leq x< \) \( \square \) B. \( \pi \leq \) \( \square \) ar \( x \geq \) \( \square \) C. \( \mathrm{x}< \) \( \square \) orx> \( \square \) D. \( 1 \leq \) \( \square \) ary \( \square \) E \( \square \) \(

Ask by West Gordon. in the United States

Feb 23,2025

We’re told that x “is greater than 1 and less than …” (with the upper bound not specified here). In standard inequality notation this “double‐bound” statement is written in the form   lower bound < x < upper bound. Since the lower bound is 1, the compound inequality becomes   1 < x < [some number]. Looking at the answer choices, Option E has the form   □ < x < □ which is exactly the form we need. (Any answer choice that involves “or” or “≤” would not match the strict “greater than 1” and “less than [number]” conditions of the original statement.) Thus, the answer is Option E: fill in the left box with 1 and the right box with whatever the upper number is. For example, if the statement were “x is greater than 1 and less than 10,” then the complete inequality would be   1 < x < 10. So, using Option E is correct.