Solving one step 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 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, 7 ≥ 7 means 7 is greater than or equal to 7.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, 3 ≤ 5 means 3 is less than or equal to 5.

Front

How do you solve the inequality y - 10 > 14?

Back

Add 10 to both sides: y > 24.

Front

What is the solution to the inequality -11w > -11?

Back

Divide both sides by -11 (remember to flip the inequality): w < 1.

Front

How do you graph the inequality 11 ≤ a?

Back

Draw a number line, put a closed circle on 11, and shade to the right.

Front

What is the solution to the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

What is the first step in solving an inequality?

Back

Identify the variable and isolate it on one side of the inequality.