Question

Express as one tion: (a/a+2 - a/a-2)
Solve the system of inequalities: (1 - 12y < 4 + 4y)

Answer 1

To express the given expression as a single fraction, find a common denominator and combine the terms. To solve the inequality, isolate the variable on one side while maintaining the balance of the inequality, and don't forget to reverse the inequality sign when dividing by a negative number.

Step-by-step explanation:

To express the expression (a/a+2 - a/a-2) as one fraction, you need to find a common denominator which in this case would be (a+2)(a-2). You then rewrite each fraction with the common denominator:

(a(a-2) - a(a+2)) / (a+2)(a-2)

Now, solve the inequality (1 - 12y < 4 + 4y). First, you want to get all the y terms on one side and the constants on the other:

1 - 12y - 4y < 4 - 1

-16y < 3

Now, divide by -16 and remember to reverse the inequality sign when you divide by a negative:

y > -3/16