6.14 Solving and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, 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, y < 3 means y is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 4 means z 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, a ≤ 2 means a is less than or equal to 2.

Front

How do you solve the inequality x + 3 > 7?

Back

Subtract 3 from both sides: x > 4.

Front

What is the solution to the inequality 2x ≤ 10?

Back

Divide both sides by 2: x ≤ 5.

Front

How do you graph the inequality b < -2?

Back

Draw a number line, place an open circle at -2, and shade to the left.

Front

What does the graph of x ≥ -4 look like?

Back

Draw a number line, place a closed circle at -4, and shade to the right.

Front

If x - 5 < 3, what is the solution?

Back

Add 5 to both sides: x < 8.