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

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 32 ≥ -16p?

Back

Divide both sides by -16 and reverse the inequality sign: p ≥ -2.

Front

What type of circle is used to graph x < 3?

Back

An open circle is used to graph x < 3.

Front

What does the graph of x ≥ -5 look like?

Back

It includes a closed circle at -5 and shading to the right.

Front

What are two solutions to the inequality x < 8?

Back

Examples of solutions include 0.8 and 5.9.

Front

What is the solution set for the inequality x > 5?

Back

The solution set includes all numbers greater than 5.

Front

How do you represent the inequality x ≤ 4 on a number line?

Back

Use a closed circle at 4 and shade to the left.

Front

What is the difference between an open and closed circle on a number line?

Back

An open circle indicates that the number is not included, while a closed circle indicates that it is included.