Question

Which of the following is not a way to represent the solution of the inequality 2(x − 2) ≤ 2?

Answer 1

A number line with a closed circle on 3 and shading to the right.

A number line with a closed circle on 3 and shading to the left.

3≥ x

x ≤ 3

Answer 2

any idea ?

Answer 3

common sense should tell you that one or the other of the first two is wrong (both can't be right)

Answer 4

that means the last 2 must be correct. so you know x ≤ 3

pick an x that makes that true. For example, 0 because 0 is less than or equal to 3

if you shaded in the 0 which side of 3 will you be on ? (on a number line)

Answer 5

2(x − 2) ≤ 2
2X - 4 ≤ 2
like that?

Answer 6

do i solve it?

Answer 7

you could "simplify" it. (it would be good practice), but the answer choices have 3 correct answers and 1 wrong one (based on the question, which asks to find the 1 wrong answer)

so looking at the answers, you should notice that the simplified version is x≤3

re-read my post up above.

Answer 8

so the first two are incorrect

Answer 9

no, only 1 of them is incorrect

Answer 10

its A ! i think...

Answer 11

yes A is wrong. shading to the right of 3 means numbers to the right of 3 are part of the answer. for example, 4 is to the right so 4 should work

x ≤ 3
4 ≤ 3 is wrong.

Answer 12

okay! thanks for the help! :D