1. Equations & Inequalities

Solve each equation. - 2{7 - [4 -2(1 - x) + 3]} = 10 - [4x - 2(x - 3)]

Find b such that (4x - b)/(x - 5) = 3 has a solution set given by {Ø}.

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? 1/R = 1/R₁ + 1/R₂ for R₁

Solve each equation. | 5/ x-3 | = 10

Solve each equation. |3/ 2x - 1 | = 4

Solve each equation. | 6x + 1/ x - 1 | = 3

Determine the values of the variable that cannot possibly be solutions of each equation. Do not solve. See Examples 1 and 2. (5/(2x+3))-(1/(x-6))=0

Solve each equation. x/x+2 + 1/x+3 = 2/x²+2x

Solve each equation. 2/x+2 + 1/x+4 = 4/x²+6x+8

Determine the values of the variable that cannot possibly be solutions of each equation. Do not solve. See Examples 1 and 2. 3/(x-2) + 1/(x+1) = 3/(x²-x-2)

Determine the values of the variable that cannot possibly be solutions of each equation. Do not solve. See Examples 1 and 2. 1/(4x) - 2/x = 3

Determine the values of the variable that cannot possibly be solutions of each equation. Do not solve. See Examples 1 and 2. 5/(2x) - 2/x = 6