Question

A solution to the compound inequality 17 less than or greater to 3 - 2x less than or greater to 21 is given below. Choose the statement that is true about the given solution.

17 less than or greater to 3 - 2x and 3 - 2x less than or greater to 21


Line 1

20 less than or greater to -2x and -2x less than or greater to 24


Line 2

-10 greater than or equal to x and x greater than or equal to -12


Line 3

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

What do you mean by "less than or greater to"?

Do you mean "not equal?"

Answer 2

NO THATS WHAT THE GAVE ME I DONT GET IT

Answer 3

Okay... well I'll try to figure this out. Let's list all of our information:

3 - 2x =/= 17
3 - 2x =/= 21

Then:
-2x =/= 14
x =/= -7
and:
-2x =/= 18
x =/= -9

Line 1:
-2x =/= 20
x =/= -10

-2x =/= 24
x =/= -12

Line 2:
x <= -10
x >= -12

Then x is between -12 and -10 according to line 2. x can be -12, -11, or -10 (assuming it's an integer). Line 1 says x =/= -12 and x =/= -10. Then x can be -11.

Since there is no line 3, there's nothing that can be said about it. So I guess you could say the solution is correct for x = -11.

But the problem makes zero sense.

Answer 4

SO WHAT WOULD THE ANSWER BE ?

Answer 5

??