Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Find the student’s error in solving the following inequality.
2 < –3x –4 < 5
6 < –3x < 5
–2 > x > –5/3

Sagot :

naǫ
The student didn't add 4 to all expressions in the inequality.
It should be:
[tex]2<-3x-4<5 \ \ \ |+4 \\ 6<-3x<9 \ \ \ |\div (-3) \\ -2>x>-3[/tex]
Panoyin
2 < -3x - 4 < 2
+4        +4  +4
2 < -3x < 6
-2           -2
       -3x < 4
        -3    -3
          x < -1 1/3

6 < -3x < 5
-5           -5
1 < -3x
-3    -3
-1/3 < x
x > -1/3

-2 > x > -5/3
+5/3      +5/3
-1/3 > x
x < -1/3
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.