Question

(Will give cookie!!! :D)

A solution to the compound inequality 17 <= 3 - 2x <= 21 is given below. Choose the statement that is true about the given solution.

Line 1

17 <= 3 - 2x and 3 - 2x <= 21

Line 2

20 <= -2x and -2x <= 24

Line3

-10 >= x and x >= -12

Choices

There is a mistake in line # 1.

There is a mistake in line # 2.

There is a mistake in line # 3.

There are no mistakes, the solution is correct.

Answer 1

There is a mistake in line # 2.

Answer 2

Oh... okay. What is it?

Answer 3

Ok so it's line # 2:
There is only one line that contains an unusual symbol, which is meant to mean "greater than or equal to". The symbol for this expression using only ASCII text is normally written as ">=" and not as "=>"

If we are talking about the mistakes made in the solution process then we could have mistakes in the following logical transitions:
- from the original inequality to the statement made in line 1,
- from the statement made in line 1 to the statement made in line 2, and
- from the statement made in line 2 to the statement made in line 3.

Out of all of these, there is a mistake made in the logical transition from line 1 to line 2 only. All the other logical transitions are OK.

So therefore the line is # 2. :)

Answer 4

Thank you so much!!

Answer 5

Hey NP :))