Asked by :3

Keesha is having trouble solving the following compound inequality. She arrived at a final answer (below) but when she checked her work she discovered that it is incorrect! Find Keesha’s error and explain to her how to fix it and solve the problem correctly. Then, provide the correct answer.

14 < 2x + 12 ≤ 24
-14 – 12 < 2x + 12 – 12 ≤ 24
2 < 2x ≤ 24
2/2 < 2x/2 ≤ 24/2
1 < x ≤ 12

Please help!
Answered by :3
Can someone please help?
Answered by henry2,
14 < 2x+12 <= 24
14-12 < 2x <= 24
2 < 2x <= 24
1 < x <= 12.
My answer is the same as yours.
All values of x from 2 to 12 satisfies the inequality.
Answered by henry2,
2 is greater than 1 and less than 12.
11 is greater 1 and less than 12.
12 is greater than 1 and = 12.
Answered by :3
14 < 2x + 12 ≤ 24
-14 – 12 < 2x + 12 – 12 ≤ 24
2 < 2x ≤ 24
2/2 < 2x/2 ≤ 24/2
1 < x ≤ 12
is Keesha's answer, which I'm trying to find the error in and solve it correctly but I don't understand, so if someone could please explain how to find the answer it would be greatly appreciated.
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