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1 vote
The inequality {x+3 < 2x – 6 is

equivalent to
A. X <-7.5
B. x > -7.5
C.x<6
D. X>6

User Chris Vest
by
8.1k points

1 Answer

2 votes

Final answer:

The correct solution to the inequality x + 3 < 2x - 6 is x > 9, which is not listed among the provided options.

Step-by-step explanation:

The inequality x + 3 < 2x - 6 can be solved by isolating the variable x on one side. First, we subtract x from both sides:

x + 3 - x < 2x - 6 - x
3 < x - 6

Next, we add 6 to both sides to solve for x:

3 + 6 < x - 6 + 6
9 < x

Hence, the solution to the inequality is x > 9. The correct equivalent inequality is x > 9, which is not one of the provided options A, B, C, or D.

User Xjshiya
by
7.8k points

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