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 '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 y + 7 ≥ 12?

Back

Subtract 7 from both sides: y ≥ 5.

Front

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

Back

Divide both sides by 8: x < 6.

Front

If 126 < f + 32, what is the solution for f?

Back

Subtract 32 from both sides: f > 94.

Front

What is the first step in solving a one-step inequality?

Back

Identify the operation being performed on the variable and perform the inverse operation.

Front

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

Back

To isolate the variable means to get the variable alone on one side of the inequality.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips (changes direction).

Front

What is an example of a one-step inequality?

Back

x - 3 > 2.