Solving One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to another value.

Front

What does the symbol '>' mean?

Back

'>' means 'greater than'. It indicates that one value is larger than another.

Front

How do you solve the inequality z ≤ 9?

Back

To solve z ≤ 9, you identify all values of z that are less than or equal to 9.

Front

What is the solution to the inequality 7n > 49?

Back

The solution is n > 7, meaning n can be any number greater than 7.

Front

If a chef has 7 pounds of potatoes and needs more than 14 pounds, what inequality represents this situation?

Back

The inequality is x + 7 > 14, where x is the amount of potatoes the chef needs to buy.

Front

How do you isolate the variable in the inequality y + 8 ≤ -15?

Back

Subtract 8 from both sides to get y ≤ -23.

Front

What is the solution to the inequality 8x < 48?

Back

The solution is x < 6, meaning x can be any number less than 6.

Front

What does it mean to 'isolate the variable' in an inequality?

Back

Isolating the variable means to manipulate the inequality so that the variable is on one side and all other terms are on the other side.

Front

What is the first step to solve the inequality 3x + 5 > 14?

Back

Subtract 5 from both sides to start isolating x.