# How do you solve the inequality #(x^2-16)/(x^2-4x-5)>=0#?

The solution is

The number one is

The numerator is

Let

Let's construct a sign chart.

graph{((x+1)(x-4))/((x-5)(x+1)) [-17.12, -7.12, -7.12]}

Consequently,

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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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- The roots of the polynomial equation #2x^3-8x^2+3x+5=0# are #alpha#, #beta# and #gamma#. What is the polynomial equation with roots #alpha^2#, #beta^2# and #gamma^2#?

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