In Exercises 59–94, solve each absolute value inequality. 1 < |2 - 3x|

In Exercises 59–94, solve each absolute value inequality. $12 < \left| -2x + \frac{6}{7} \right| + \frac{3}{7}$

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. $y_1 = \frac{x}{2} + 3, \quad y_2 = \frac{x}{3} + \frac{5}{2}, \quad \text{and} \quad y_1 \leq y_2$

Use interval notation to represent all values of x satisfying the given conditions. y = |2x - 5| + 1 and y > 9

Use the table to solve each inequality. - 3 < 2x - 5 ≤ 3

When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use interval notation to express the set of all numbers that satisfy this condition.

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x-5 = 7

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7(x-4) = x + 2

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2(x-4)+3(x+5)=2x-2

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7x + 13 = 2(2x-5) + 3x + 23

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x/3 = 6 - x/4

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. (3x+1)/3 - 13/2 = (1-x)/4

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 3-5(2x + 1) - 2(x-4) = 0

Perform the indicated operations and write the result in standard form. (7-i)(2+3i)

Solve each equation by the square root property. $\frac{x^2}{2}+5=-3$

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x^2+20x$

Solve each equation by completing the square. $3x^2-12x+11=0$

Solve each equation using the quadratic formula. $2x^2=3-4x$

Without solving the given quadratic equation, determine the number and type of solutions. $9x^2=2-3x$

Solve each equation by the method of your choice. $3x^2-7x+1=0$

Solve each equation by the method of your choice. $(x-3{)}^2-25=0$