Activity $1.$ Solve the following rational equations and inequalities using the guided procedure on the table below 1. Rational Equation $\dfrac {x-2} {x^{2-4}}+\dfrac {1} {x+2}=\dfrac {1} {x-2}$ $1$ Find the Least Common Denominator $\left(1CD\right)$ $2$ Multiply both sides of the equation by its the LCD. $3$ Apply the Distributive Property and then simplify. $4$ Find all the possible values of $x$ $x=6$ $5$ Check each value by substituting into the original equation and reject any extraneous $0ot$

Rational Equation $\dfrac {x-2} {x^{2}-4}+\dfrac {1} {x+2}=\dfrac {1} {x-2}$ $1.$ Find the Least Common Denominator (LCD). $2$ Multiply both sides of the equation by its the $1\square $ LCD. $3$ Apply the Distributive Property and then simplify. $4$ Find all the $D$ possible values of $x$ $x=6$ $5.$ Check each value by substituting into the original equation and reject any extraneous $root/5$ $8$

mue By substituting $ny$ to the original equation and reject extrancous $oo1/=$ $2$ Rational Equation $\dfrac {x-6} {x^{2-4x-12}}+\dfrac {2} {x+2}=\dfrac {1} {x-6}$ 1. Find the Least Common Denominator (LCD). 2. Multiply both sides of the equation by $ts$ the LCD. 3. Apply the Distributive Property and then simplify. 4. Find all the possible values of $X$ $x=10$ $5$ Check each value $by$ substituting into original equation and reject $any$ extraneous $root/s$