Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 and reverse the inequality sign: x > -6.

Front

What is the solution to the inequality x - 4 > 5?

Back

Add 4 to both sides: x > 9.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a solid dot on 3 and shade to the right to indicate all numbers greater than or equal to 3.

Front

What is the solution to the inequality -2x + 3 > -7?

Back

Subtract 3 from both sides: -2x > -10, then divide by -2 and reverse the inequality: x < 5.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means representing the solution set on a number line, showing all possible values that satisfy the inequality.