Solving Inequalities

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

The symbol '>' means 'greater than'. For example, $$x > 5$$ means x is greater than 5.

The symbol '<' means 'less than'. For example, $$x < 3$$ means x is less than 3.

The symbol '≥' means 'greater than or equal to'. For example, $$x ≥ 4$$ means x is greater than or equal to 4.

The symbol '≤' means 'less than or equal to'. For example, $$x ≤ 2$$ means x is less than or equal to 2.

Subtract 10 from both sides: $$\frac{v}{2} > -7$$ . Then multiply by 2: $$v > -14$$ .

Add 3 to both sides: $$-2x \le 16$$ . Then divide by -2 (remember to flip the inequality): $$x \ge -8$$ .

Add 3 to both sides: $$7b < 14$$ . Then divide by 7: $$b < 2$$ .

Add 2 to both sides: $$4x \le -20$$ . Then divide by 4: $$x \le -5$$ .

The solution set is all real numbers greater than 4.