Question

Jack solved the following inequality incorrectly, but he cannot figure out where he went wrong. Find Jack’s mistake(s) and write a note to him to help him solve the inequality correctly.

Jack’s Solution and Work:

1-2x < 11

2x<10

x<5

Answer 1

Answer:

x > -5

Step-by-step explanation:

He went wrong in,

2x < 10

Let's solve it and see,

1 - 2x < 11

1 - 11 < 2x

-10 < 2x

-10/2 < x

-5 < x

x > -5

OR

The correct way Jack should have done,

1 - 2x < 11

-2x < 11 - 1

-2x < 10

Dividing the whole equation by -2

x > (10/-2)

x > -5 [Because, dividing by a negative integer reverses the inequality symbol]

Hence,

x > -5

Hope it helped and believing you understood it........All the best