Let S={−2,−1,0,1/2,1,√2,2,4} Determine which elements of S satisfy the inequality Enter your answers as a comma-separated list 1<2x−4≤19?
Please help with my math solving inequalities problem:
Let S={−2,−1,0,1/2,1,√2,2,4} Determine which elements of S satisfy the inequalityEnter your answers as a comma-separated list1<2x−4≤19
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Original compound inequality:
1 < 2x - 4 ≤ 19
Add 4 everywhere:
5 < 2x ≤ 23
Divide everything by 2 (note: you are dividing by a positive number so it doesn't affect the inequality symbols):
5/2 < x ≤ 23/2
2.5 < x ≤ 11.5
Now check the elements of the set S.
Hint:
There is only one value in the set S that is in that range. Can you find it?