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

How do you solve the inequality x − 7 > -12?

Back

Add 7 to both sides: x > -5.

Front

How do you solve the inequality x − 17 > -54?

Back

Add 17 to both sides: x > -37.

Front

How do you solve the inequality w + 4 ≤ -5?

Back

Subtract 4 from both sides: w ≤ -9.

Front

How do you solve the inequality 1.8m ≥ -5.4?

Back

Divide both sides by 1.8: m ≥ -3.

Front

What is the first step in solving one-step inequalities?

Back

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

Front

What is the importance of the direction of the inequality sign?

Back

The direction of the inequality sign indicates the relationship between the two expressions and must be preserved when solving.