Please help!!!!
Please help me with this Graph the compound inquality on the number line.
x<3 or x>6=
Sure! To graph the compound inequality on the number line, we will start by plotting the two separate inequalities and then representing their union.
1. Let's start with x < 3. This means that any value of x that is less than 3 satisfies this inequality. To represent this on a number line, we draw an open circle (since the inequality is strict) at 3 and shade the region to the left. This indicates that any value to the left of 3 is a solution.
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0 1 2 3 4 5 6
2. Now let's move on to x > 6. This means that any value of x that is greater than 6 satisfies this inequality. To represent this on the number line, we draw an open circle at 6 and shade the region to the right. This indicates that any value to the right of 6 is a solution.
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0 1 2 3 4 5 6
3. Finally, we need to represent the union of these two inequalities. To do this, we combine the shaded regions from both inequalities. Since it can be either x < 3 or x > 6, we use a union symbol (∪) to indicate this.
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0 1 2 3 4 5 6
∪
The resulting graph would have a shaded region to the left of 3 and a shaded region to the right of 6, with an open circle at both 3 and 6.
I hope this helps! Let me know if you have any further questions.