Equations and inequalities with absolute value

Solve the equation

$$|3x-2|=7.$$

Solution available to those who have unlocked the subject.

Solve the equation

$$|5-2x|=1.$$

Solution available to those who have unlocked the subject.

Solve the equations

$$|x+4|=-3\text{and}|7x-21|=0.$$

Solution available to those who have unlocked the subject.

Solve the equation

$$|x-5|=|3x+1|.$$

Solution available to those who have unlocked the subject.

Solve the equation

$$|x+3|=2x.$$

Solution available to those who have unlocked the subject.

Solve the equation

$$|2x-5|=x+1.$$

Solution available to those who have unlocked the subject.

Solve the inequality

$$|x-2|<5.$$

Solution available to those who have unlocked the subject.

Solve the inequality

$$|x^2-5|\le 4.$$

Solution available to those who have unlocked the subject.

Solve the inequality

$$|2x-3|>7.$$

Solution available to those who have unlocked the subject.

Solve the inequality

$$|x-1|\ge 2x-4.$$

Solution available to those who have unlocked the subject.

Solve the inequality

$$|x+1|<3x-3.$$

Solution available to those who have unlocked the subject.

Solve the inequality

$$|x+2|+|x-4|\ge 8.$$

Solution available to those who have unlocked the subject.