How do you solve and graph the compound inequalities # x+1 > 2# and # x+1<6# ?
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To solve the compound inequalities (x + 1 > 2) and (x + 1 < 6), you can solve each inequality separately and then find the intersection of their solutions.

Solve (x + 1 > 2): Subtract 1 from both sides: [x > 3]

Solve (x + 1 < 6): Subtract 1 from both sides: [x < 5]
So, the solution to the compound inequalities is (3 < x < 5).
To graph this solution on a number line, draw a line with an open circle at 3 (because x is not equal to 3) and an open circle at 5 (because x is not equal to 5). Shade the area between 3 and 5 to represent the values of x that satisfy both inequalities.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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