1. Equations & Inequalities

In Exercises 99–106, solve each equation.- 2{7 - [4 -2(1 - x) + 3]} = 10 - [4x - 2(x - 3)]

Solve: 3x-1/5 + x+2/2 = -3/10.(Section 1.4, Example 4)

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

In Exercises 35–54, 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. |2x + 3/ 3x - 4 | = 1

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/(x^2-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

Solve each equation. See Example 1. (2x+5)/2 - 3x/(x-2) = x