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 one value is either less than or equal to another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another.

Front

How do you solve the inequality y + 8 ≤ -15?

Back

Subtract 8 from both sides: y ≤ -15 - 8, which simplifies to y ≤ -23.

Front

What is the solution to the inequality x - 2 < 5?

Back

Add 2 to both sides: x < 5 + 2, which simplifies to x < 7.

Front

How do you solve the inequality x - 9 > 10?

Back

Add 9 to both sides: x > 10 + 9, which simplifies to x > 19.

Front

What does it mean if q ≤ 46?

Back

It means that the value of q can be any number that is less than or equal to 46.

Front

How do you check if a value satisfies the inequality x + 9 > 21 when x = 15?

Back

Substitute 15 into the inequality: 15 + 9 > 21, which simplifies to 24 > 21. This is true.

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 to isolate the variable.

Front

What is the difference between '>' and '<'?

Back

'>' means 'greater than', while '<' means 'less than'.