5.1 Solving Inequalities by Addition and Subtraction

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, a > 5 means 'a is greater than 5'.

Front

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

Back

The symbol '<' means 'less than'. For example, b < 10 means 'b is less than 10'.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, c ≥ 4 means 'c 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, d ≤ 7 means 'd is less than or equal to 7'.

Front

How do you represent the inequality a ≥ 11 on a number line?

Back

You place a closed dot at 11 and shade to the right to indicate all numbers greater than or equal to 11.

Front

How do you represent the inequality a < 11 on a number line?

Back

You place an open dot at 11 and shade to the left to indicate all numbers less than 11.

Front

What type of dot is used for the inequality x ≤ 3?

Back

A closed dot is used for the inequality x ≤ 3.

Front

What type of dot is used for the inequality x < 3?

Back

An open dot is used for the inequality x < 3.

Front

If k < 3, which graph would represent this inequality?

Back

Graph A would represent the inequality k < 3, with an open dot at 3 and shading to the left.