Question

The inequality 7 - 2/3x < x - 8 is equivalent to

1) x > 9
2) x > -3/5
3) x < 9
4) x < -3/5

Answer 1

1) x > 9

Explanation:

You want the solution to the inequality 7 -2/3x < x -8.

Solution

Adding 8 to both sides, we get ...

15 -2/3x < x

Adding 2/3x to both sides gives ...

15 < 5/3x

Multiplying both sides by 3/5, we have ...

9 < x

Rearranging to put x on the left gives ...

x > 9 . . . . . matches choice 1

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