# How do you solve #x^2+x-6<0# using a sign chart?

The answer is

Let's factorise the expression,

Now we can do the sign chart

Therefore,

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To solve (x^2+x-6<0) using a sign chart:

- Factor the quadratic equation to find its roots: (x^2 + x - 6 = (x - 2)(x + 3)).
- Plot the critical points on the number line: (x = -3) and (x = 2).
- Test the intervals between the critical points and beyond them by picking test points and determining the sign of the expression (x^2+x-6) in those intervals.
- Analyze the signs in each interval to determine where the expression is less than zero.
- Finally, express the solution as an interval or union of intervals where the expression is negative.

The solution to (x^2+x-6<0) using a sign chart is (-3<x<2).

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When evaluating a one-sided 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 one-sided 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 one-sided 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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