SOLUTION: Let S = &#8722;2, &#8722;1, 0, 1,square root of 2, 1, 2 and 4 . Determine which elements of S satisfy the inequality. (Select all that apply.) 1 < 2x &#8722; 5 &#8804; 9

Algebra ->  Graphs -> SOLUTION: Let S = &#8722;2, &#8722;1, 0, 1,square root of 2, 1, 2 and 4 . Determine which elements of S satisfy the inequality. (Select all that apply.) 1 < 2x &#8722; 5 &#8804; 9      Log On


   



Question 978375: Let S = −2, −1, 0, 1,square root of 2, 1, 2
and 4
.
Determine which elements of S satisfy the inequality. (Select all that apply.)
1 < 2x − 5 ≤ 9

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!

Your inequality is
1 < 2x − 5 ≤ 9.

Simplify it step by step:

1 + 5 < 2x <= 9 + 5,
6 < 2x <= 14,
3 < x <= 7.

Only  x = 4  satisfies this inequality.

Answer.  Only  x = 4  satisfies this inequality.