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.

Line 1
17 less than or greater to 3 - 2x and 3 - 2x less than or greater to 21

Line 2

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

Line 3

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




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

is "less than or greater to" the equivalent of "not equal to"

Answer 2

what no its like this symbol ≤

Answer 3

thats less than or equal to

Answer 4

woops i mean ≥ but yeah u know

Answer 5

and thats greater than or equal to

Answer 6

17 ≥ 3 - 2x ≥ 21 is the same as 17 ≥ 3 - 2x & 3 - 2x ≥ 21

if you want to solve it
17 ≥ 3 - 2x ≥ 21
anything you do to the middle, you need to do to both sides
17-3 ≥ 3 - 2x -3 ≥ 21-3
17-3 ≥ - 2x ≥ 21-3

if you divide by a negative number the signs switch

17 ≥ 3 - 2x ≥ 21
(-1)17 ≥ (-1) (3 - 2x )≥ (-1)21
-17 ≤ (-1) (3-2x) ≤ -21

Answer 7

and this case meaning the union of the 2 inequalities
or everything in between

Answer 8

oh ok so that means the mistake is in line 2? ? im kind of still confused...

Answer 9

u know for a completeidiot u are pretty fricking smart tbh