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, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

How do you solve the inequality y + 7 ≥ 12?

Back

Subtract 7 from both sides: y ≥ 5.

Front

What are two solutions to the inequality x < 8?

Back

Examples of solutions include 7 and 0.

Front

How do you graph the inequality z ≤ 9?

Back

Draw a number line, shade to the left of 9, and put a closed circle on 9.

Front

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

Back

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

Front

What is the difference between 'solving' and 'graphing' an inequality?

Back

Solving an inequality finds the range of values that satisfy it, while graphing visually represents those values on a number line.