Question

Jack solved the following inequality incorrectlybut he cannot figure out where went wrong. Find Jack's mistakes) and write a note to him to help him solve the inequality correctly Jack's Solution and Work: 1 - 2x < 112x < 10x < 5

Answer 1

Inequalities

We are given the inequality:

1 - 2x < 11

Jack tried to solve it but he made it incorrectly. Let's follow his procedure and describe the mistake.

1 - 2x < 11

Subtract 1 in both sides of the inequality:

- 2x < 11 - 1

- 2x < 10

Note Jack wrote: 2x < 10. He forgot to write the minus sign of the 2.

The rest of the procedure and the final answer are wrong also.

After the last inequality is simplified, we must solve for x by dividing by -2.

It's crucial to recall that when we multiply or divide by a negative number, the inequality sign is reversed:

x > 10 / (-2)

Now divide:

x > -5

This is the correct answer.

Note to Jack:

I have checked on your solution and found this:

* You forgot to write the minus sign before the number 2

* That mistake made it right through the wrong answer (x < 5) when it should be x > -5