91Ó°ÊÓ

Solve the equations. \(-3=-|c-7|+1\)

Solve the inequality. Graph the solution set, and write the solution set in set-builder notation and interval notation. (See Examples \(1-3)\) $$-14<3(m-7)+7$$

Max and Molly plan to put down all-weather carpeting on their porch. The length of the porch is \(2 \mathrm{ft}\) longer than twice the width, and the perimeter is \(64 \mathrm{ft}\). a. Find the dimensions of the porch. b. How many square feet of carpeting should they buy if they add an additional \(10 \%\) for waste? c. Determine the total cost if the carpeting costs $$\$ 5.85 / \mathrm{ft}^{2}$$ and sales tax is 7.5 %.

a. Write an equation representing the fact that the sum of the squares of two consecutive integers is 181 . b. Solve the equation from part (a) to find the two integers.

Solve by applying the zero product property. \(32 n^{2}-162=0\)

Solve the equations. \(2=8+|11 y+4|\)

Solve the inequality. Graph the solution set, and write the solution set in set-builder notation and interval notation. (See Examples \(1-3)\) $$\frac{4+x}{2}-\frac{x-3}{5}<-\frac{x}{10}$$

Solve by applying the zero product property. \(3 x^{2}=12 x\)

Solve by applying the zero product property. \(z^{2}=25 z\)

Solve the inequality. Graph the solution set, and write the solution set in set-builder notation and interval notation. (See Examples \(1-3)\) $$\frac{y+3}{4}-\frac{3 y+1}{6}>-\frac{1}{12}$$