Problem

8. If $3< 2 x-4< 6$, which of the following inequalities gives all possible values for $2 x$ ?
A) $7< 2 x< 10$
B) $3.5< 2 x< 5$
C) $7> 2 x> 10$
D) No solution

Answer

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Answer

Now, we can see that the inequality matches option A, so the answer is \(\boxed{\text{A)}\ 7<2x<10}\)

Steps

Step 1 :Add 4 to all sides of the inequality: $7<2x<10$

Step 2 :Now, we can see that the inequality matches option A, so the answer is \(\boxed{\text{A)}\ 7<2x<10}\)

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