Questions: -1 < 9 + n < 17

Transcript text: $-1<9+n<17$

Solution

Solution Steps

Step 1: Subtract 9 from all parts of the compound inequality

To isolate the variable 'n', we subtract 9 from all three parts of the inequality: -1 - 9 < 9 + n - 9 < 17 - 9 This simplifies to: -10 < n < 8

Step 2: Graph the solution on the number line

The solution represents all numbers greater than -10 and less than 8. On the number line, this is represented by an open circle at -10 and an open circle at 8, with a line connecting the two open circles. Open circles indicate that -10 and 8 themselves are not included in the solution.

Final Answer

-10 < n < 8. The graph should have open circles at -10 and 8, with a line connecting the two.

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