Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Practice and Problem-Solving Exercises - Page 107: 48

Answer

a) No b) between $-3$ and $-1$ c) $x\le-3$

Work Step by Step

a) No, the spreadsheet does not show the solution of the equation since there is no value of $x$ for which the value in column B is equal to the value in column C. b) The solution to the equation is between the $x$ values of $-3$ and $-1$. This is because when the $x$-value is less than or equal to $-3$ the value in column B is less than the value in column C. But when the $x$-value is greater than or equal to $-1$, the value in column B now becomes greater than the value in column C. This means that somewhere between the $x$-values of $-3$ and $-1$, the value of column B became equal to the value in column C. c) Examining the values in column B and column C, then $7(x+1)$ is less than $3(x-1)$ when $x\le-3$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.