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Math

QuestionGraph the solution set for the interval (−∞,−1)(-\infty,-1).

Studdy Solution

STEP 1

Assumptions1. The given set is a solution set in interval notation. The set represents all real numbers less than -13. The parentheses indicate that -1 is not included in the set

STEP 2

First, we need to draw a number line. This number line will represent all real numbers.
Draw a horizontal line and mark it with evenly spaced points.\text{Draw a horizontal line and mark it with evenly spaced points.}

STEP 3

Next, we need to mark -1 on the number line. This is the boundary of our solution set.
Mark -1 on the number line.\text{Mark -1 on the number line.}

STEP 4

Now, we need to indicate that -1 is not included in the solution set. We can do this by drawing an open circle at -1.
Draw an open circle at -1.\text{Draw an open circle at -1.}

STEP 5

Finally, we need to represent all real numbers less than -1. We can do this by drawing a line to the left of -1, extending to negative infinity.
Draw a line extending to the left from -1, indicating all numbers less than -1.\text{Draw a line extending to the left from -1, indicating all numbers less than -1.}The graph of the solution set (−∞,−1)(-\infty,-1) is a line extending to the left from an open circle at -1, indicating all real numbers less than -1.

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