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?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used when graphing b < 6.

Front

What does the solution k ≤ -11 represent on a number line?

Back

It represents all numbers less than or equal to -11, including -11.

Front

How do you represent the inequality c < 9 on a graph?

Back

Draw a number line, place an open circle at 9, and shade to the left.

Front

What is the solution to the inequality x + 3 > 5?

Back

Subtract 3 from both sides: x > 2.

Front

What does it mean if an inequality has a closed circle on a number line?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ 5).

Front

How do you solve the inequality 2x - 4 < 10?

Back

Add 4 to both sides: 2x < 14, then divide by 2: x < 7.